The sum of the first ten terms of an arithmetic
Progression is 400. If the sum of the first 6
terms of the same series is 120, find the 15th term.​

Answers

Answer 1

Answer:

345.

Explanation:

Sum of n terms = n/2[2a1 + (n-1)d]

So 400 = 10/2(2a1 + 9d) and

120 = 3(2a1 + 5d)  so we have the system:

400 = 10a1 + 45d ......... A

120  = 6a1 + 15d    ..........B         multiply this by 3:

360  = 18a1 + 45D     Subtract this from equation A:

40 = -8a1

a1 = -5

So plugging this value into B:

d =  (120 - 6*-5) / / 6

= 150/6 = 25.

15th term = a1 + (n - 1)d

= -5 + (15-1)25

=  345.


Related Questions

Read this excerpt from A Black Hole is NOT a Hole.
Which fact is the author emphasizing in this excerpt?
A black hole is the same size as the star that it is
created from
When it comes to black holes, matter really matters.
After all, if it weren't for all the matter crunched into a
tiny space, an extreme gravity zone could never form.
But it's not just how much matter in how small a space
that makes a difference. How a star's matter collapses
also affects the black hole that forms.
O When a black hole is created is just as important as
how it is created.
O How a black hole is created is just as important as
how much matter it contains
An extreme gravity zone creates black holes in
spaces that are too tiny to imagine.

Answers

Answer:

O How a black hole is created is just as important as

how much matter it contains

Explanation:

Hope this helped. :)

Answer:

b .What are the ways a star's matter might collapse

Explanation:

What kind of moderator is Chairman Reed? Effective. Chairman Reed is reminding participants of the rules for discussion, acknowledging Mr. Hollembeak’s point of view, and asking him to support his point of view with facts. Effective. Chairman Reed is keeping the discussion on topic by preventing other board members from participating and by challenging Mr. Hollembeak’s claim by demanding proof. Ineffective. Chairman Reed is not following the rules for discussion that he lays out in his opening statement, and he is not properly staying on topic. Ineffective. Chairman Reed is not allowing the other board members to share their points of view, and he is not following the discussion rules.

Answers

Effective. Chairman Reed is keeping the discussion on topic by preventing other board members from participating and by challenging Mr. Hollem Beak’s claim by demanding proof is a kind of moderator is Chairman Reed.

Who is moderator?

Moderator who is presiding over a meeting or discussion.

What is the role of moderator?

The facilitator or debating moderator is a person whose role is to take an active part in the discussion or negotiations, which captures participants in the timetable and tries to prevent them from deviating from the topic of the questions being asked.

Hence, the correct answer is Option B.

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Answer:

A. Effective. Chairman Reed is reminding participants of the rules for discussion, acknowledging Mr. Hollembeak's point of view, and asking him to support his point of view with facts.

Explanation:

Which skills make group discussions effective? Check all that apply
O collaborating with others
O working independently
Oappreciating multiple perspectives
O hearing different points of view
O expressing thoughts and ideas
O keeping quiet and closed-minded
O exploring the topic in detail

Answers

Answer:

A,C,D,E,G

Explanation:

I'm pretty sure I'm right

Collaborating with others, appreciating multiple perspectives, hearing different points of view, expressing thoughts and ideas, and exploring the topic in detail make group discussions effective. Thus, option A, C, D, E, and G is correct.

What is a group discussion?

Group discussion (GD) is a thorough method for determining a person's fitness and acceptability for employment, scholarships, or another opportunity. GD evaluates a person's total mentality, including their ideas, feelings, and actions, within a group. The group members receive a subject to examine.

In a group discussion, there can be various perspectives that can come to light. All these perspectives and one can have your own way of exploring things. As every thought and account and it should be acknowledged.

Therefore, option A, C, D, E, and G is the correct option.

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Which pieces of evidence are most likely empirical? Select two options. quotations from planters describing formerly enslaved people and Indian workers stories about rivalries between formerly enslaved people and Indian workers a historical study showing that Indian workers were paid low wages recorded conversations with families whose ancestors experienced rivalries research showing that planters encouraged rivalry between workers on edge2020

Answers

Answer:

a historical study showing that Indian workers were paid low wages

research showing that planters encouraged rivalry between workers

Explanation:

Answer:

a historical study showing that Indian workers were paid low wages

research showing that planters encouraged rivalry between workers

Explanation:

Things to do to Prevent bear attacks

Answers

Answer:

Dont go near bears

Explanation:

hope this helps dont 4get to like and star

-mercury

Create a plan to get rid of a bird. How would you be sure that it would never return. ​

Answers

Answer:

Bird-X STS-10-R Stainless Steel Bird Spikes

Made from heavy-duty stainless steel, these weatherproof 6″ spikes can be mounted on almost any surface to keep birds away. The product includes an adhesive strip and a flexible base.

Explanation:

Hope that helps a lot my boo!

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I thinks it’s the leader:

Read the sentence below and select the appropriate punctuation. My name is Ryan
a .
b ?
c !​

Answers

Answer: a

My name is Ryan.

help I give 25 points if you answer

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Answer:

A

Explanation:

Answer:

A nice

Explanation:

A nice A nice A nice

nice and evil are antonyms.

13. What is the best way to fix this sentence fragment?
We had a good meal. The best meal of our lives.
A. We had a good meal; the best meal of our lives.
B. We had a good meal the best meal of our lives.
C. We had a good meal. The best meal of our lives.
D. We had a good meal, the best meal of our lives.

Answers

Answer:

a or d

Explanation:

mark brainliest please

What is one example of prose?

Answers

Answer: Prose is ordinary language that follows regular grammatical conventions and does not contain a formal metrical structure. This definition of prose is an example of prose writing, as is most human conversation, textbooks, lectures, novels, short stories, fairy tales, newspaper articles, and essays.

What happened to the Navajo children who continued to speak their native language? *

A. They were beaten with a stick.
B. They were sent home.
C. They were given additional chores to complete.
D. They were forced to speak English with an instructor for hours.​

Answers

Answer:

D. They where forced to speak English with an instructor for hours

Explanation:

I remember doing this question.

Question 3 of 5
The Gateway Arch, also known as the St. Louis Arch, is an important
American monument and a tribute to the American pioneer spirit. The
monument is the tallest in the country. It was designed in 1947 and
opened to the public in 1967. Seen from the east, the Arch seems to
form a frame around the city of St. Louis, Missouri, and, symbolically,
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Which option best evaluates how well the following summary reflects the
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1
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D. The summary is strong because it focuses on the supporting
rath
adere at

Answers

Answer:

C.

Explanation:

The summary provided in the question of the given passage can be considered weak because it does not cover the main idea of the passage. The summary mentions only one detail from the passage, which makes the summary weak.

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Therefore, option C is correct.

early history of lyric poetry

Answers

Answer:

Lyric poetry was first composed in ancient Greece using the lyre. The earliest lyric poems were composed in the seventh century B.C.

Explanation:

Lyric poetry is a formal type of poetry which expresses personal emotions or feelings. It is one of the three main genres of poetry. The mood in the lyrics poetry is melodic and emotional. The writer uses words that are expressing his/her mind or feelings.

There's a baked potato on a chair
My mother was just sitting there
I thought I heard in this room
Theres only one thing to assume
My mom has turned into a baked potato
I'm pretty sure potato transformations are fatal
The potato expert will be here soon
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My mom has turned into a baked potato
This saucer is wearing a wizard hat
Oh my God she's been cursed by a saucer-er
Hold on a minute is that my dad
My dad has been turned into a mashed potato and I think this one is medically worse
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Answers

Answer:

I just saw potato soo..

Explanation:

A potato flew around my room before you came, excuse the mess it made...

(:

What are three advantages and disadvantages of having one setting in a story/film?

Answers

Answer:

I hope this helps you.

Explanation:

1. It never changes the mood of the story. Happy time= sunny sky. Sad time=rain suddenly appears. Change of season=new part of the story.

2. It makes the story seem unappealing and static.

3. It is unrealistic-people are constantly on the move.

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Explanation:

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school to remain a priority,

Answers

Answer:

The rebuttal should acknowledge that school remains

a priority and discuss the benefits of a balance

between school and work.

Explanation:

The rebuttal the best address the counterclaim by acknowledging that school remains a priority and discuss the benefits of a balance.

Why is education important?

Education's main goal is to help students improve existing abilities and learn new ones.

Education is certainly one of life's most crucial parts.

Education can help us grow as humans by teaching us new life skills and expanding our knowledge as we get older.

All of this information is then carried over into our adult life, enabling us to become better, more informed citizens and to have happier, more successful lives.

Thus, the correct option is B.

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Match each product of powers with its simplified expression.
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Answers

Answer:

Isid

Explanation:


Which are common elements found in procedural texts? Check all that apply.
list of necessary materials
aplace for comments
a section of definitions
a page of success stories
a series of steps

Answers

Answer:

A) list of necessary materials

E) a series of steps

edge 2020

A place for comments and a series of steps that are common elements found in procedural texts. The correct options are A and C. Directions, recipes, instruction manuals, and itineraries are examples of procedure text types.

What is the structure of a procedural text?

Procedural texts are complex structures; they frequently exhibit complex rational instructions and an 'irrational' structure that is primarily composed of advice, conditions, preferences, evaluations, user stimulations, and so on.

Procedural texts are made up of a series of instructions that are carefully planned in order to achieve a specific goal. Subgoals may be included in procedural texts. Titles and subtitles are frequently used to realize goals and subgoals.

Thus, the ideal selection options are A and C.

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functions of automated library​

Answers

Answer:

In libraries automation refers to the process of automatic in-house functions such as circulation, cataloguing, Acquisitions, Serials Controls etc. Need for Library Automation: There are several reasons for automation. A considerable saving in efforts, Time and resources involved in manual processing can be achieved.

what helps the reader identify the audience for a literary text?​

Answers

Answer:

The genre!!!

hope you find with your looking for

stay safe !!

Who was Edla Willmansson​

Answers

Explanation:

Edla Willmansson was the oldest daughter of the iron master. She was not very pretty but was humble and shy. The iron master had mistaken the peddler as his old friend Von and had invited him to his house.

Edla Willmansson was the oldest daughter of the iron master. She was not very pretty but was humble and shy. The iron master had mistaken the peddler as his old friend Von and had invited him to his house.

Read the following passage and answer the questions.

“Meanwhile, in Africa, the
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These statements, “blowing the cobwebs away from the stodgy Spanish art and society” exemplifies—

Answers

Answer: Opinion

Explanation:

The phrase “blowing the cobwebs away from the stodgy Spanish art and society” implies that Spanish art and society had become so dull with no development or movement such that metaphorically speaking, cobwebs had formed on them.

This is the opinion of the author because they have judged Spanish art and society to be boring by their own standards. It therefore is not necessarily a fact and neither does it constitute either evidence or data.

4. Why do designers cut different patterns into the ball's crystal panels?
O to add to the ball's sparkle
O to reduce the ball's glare
O to make the LED lights last longer
O to produce different colors

Answers

Answer:

produce dif colors

Explanation:

How did the use of the "showers" help the Nazis further their goals?​

Answers

Answer:

They told people they were showers but they were cemical baths. It killed people without them really knowing.

Explanation:

What value is there in making connections between characters from different texts/time periods/cultures? What can we learn from those connections/comparisons?

Answers

Answer:

students who make connections while reading are better able to understand the text they are reading. it is important for students to draw on their prior knowledge and experiences to connect with the text. students gain a deeper understanding of a text when they make authentic connections.

it helps readers understand how characters feel and the motivation behind their actions. it helps readers have a clearer picture in their head as they read thus making the reader more engaged. it keeps the reader from becoming bored while reading.

people sort and categorize relationships as one way of learning how things are connected. making connections in relationships is just another way to describe learning how things are related to each other and how the physical world works.

Explanation:

hope this helps some!!

in 1997 we____(give) the opportunity to come to the us​

Answers

Answer: In 1997 we were given the opportunity to come to the U.S.A.

Explanation: Passive voice, past: were given

This means: Someone (not named here) gave us the opportunity to come to the United States.

Answer:

gives the opportunity to come to the us

hi

What do you do At the week end ? 5 line paragraph

thank you ;) ​

Answers

Answer:

Mostly I spent my weekend by pursuing my passion for writing and painting, and spending my time with family at home.

Explanation:

Weekend is something which everyone look forward to. School kids would count days and gets excited on Friday as they will not have to go to school the next morning. For them, weekend means waking up late in the morning, playing, and enjoying.

But for me, I really look forward to weekend, after spending five days at work. I wake up early on weekend as well, to meditate and spend sometime to talk to God. Then I spend morning time helping my mother in household chores, helping her in preparing breakfast, and have conversation with my family while having breakfast. After all the work gets done, I would read books, and then write a blog about any concerned topic that would come to my mind. In evening I usually spend some time for my passion, which is painting. Then watch TV with family while having dinner.

Does nature of the potential to lift men spirits at all times or only occasionally

Answers

Answer:

I think Occasionally.

HELP
I have to write a poem but idk what to write it abt any ideas?

Answers

Answer:

mushrooms are fun you should write about those.

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