find the 17th term of the arithmetic sequence whose common difference is d=3 and whose first term is a1=1.

Answers

Answer 1

Answer:

[tex]a_{17} = 49[/tex]

Step-by-step explanation:

Given

Sequence: Arithmetic

[tex]d = 3[/tex]

[tex]a_1 = 1[/tex]

Required

Determine the 17th term

The nth term of an arithmetic sequence is:

[tex]a_n = a_1 + (n - 1) d[/tex]

In this case: n = 17

So, we have:

[tex]a_{17} = 1 + (17 - 1) * 3[/tex]

[tex]a_{17} = 1 + 16 * 3[/tex]

[tex]a_{17} = 1 + 48[/tex]

[tex]a_{17} = 49[/tex]

Hence, the 17th term is 49


Related Questions

children are the future of the country why

Answers

Answer:

Children are considered future builders of nation beacause the future of every country depends on the future of children who will be adults in future. They may be doctors, engineers, scientist, teachers, politicians etc and have to shoulder all kinds of responsibilities. They will have to take the country in the track of progress and prosperity.

Answer:

Because they are the youth!

Explanation:

We can't have our elders live forever. We need 'heirs' to carry on our legacy!

Two radar stations 5.5 miles apart are tracking an airplane. The straight line distance
between station A and the plane is 13.1 miles. The straight line distance between
station B and the plane is 8.1 miles. What is the angle of elevation from station A to the
plane?

Answers

Answer:

19°

Step-by-step explanation:

I have attached an image showing this elevation.

From the image, let's first find the angle A by using cosine rule.

Thus;

8.1² = 5.5² + 13.1² - 2(5.5 × 13.1)cos A

65.61 = 30.25 + 171.61 - 144.1cos A

144.1cos A = 171.61 + 30.25 - 65.61

144.1cosA = 136.25

cosA = 136.25/144.1

cosA = 0.9455

A = cos^(-1) 0.9455

A = 19°

a adult giraffe that is 18 ft tall casts a shadow that is 9ft tall. find the length of the shadow that is casts by a 4ft baby elephant. plz help i will give brainliest

Answers

Answer:

The answer is 2ft.

Step-by-step explanation:

The giraffes shadow is half the size of the actual giraffe. Therefore the elephants shadow would only be have of the elephants size, 4/2 = 2.

3/4(12a+8)=34.8 someone please help me solve this

Answers

A = 3.2
Isolate the variable by dividing each side by factors that don't contain the variable.

Step-by-step explanation:

3(12a+8)=34.8×4

12a+8=46.4

a=4.5333

plz make me brainliest

Which system of equations is graphed below?​

Answers

there is no image attached

7Ь — 9x + За – 12
Help please

Answers

Answer:

−9x+3a+7b−12

Step-by-step explanation:

Hope this helps

help fast please and thankd​

Answers

Answer:

A.

Step-by-step explanation: Okay you can simplify step-by-step.

x+x+x

Combine Like Terms:

=x+x+x

=(x+x+x)

=3x

Answer:

=3x

A. Add all the letters and get 3 then multiply that by r

Y!!!!!
Mrs. Boehm's class ordered 16 pans of
brownies. Each student will get 2 À
brownies. Exactly how many students can
Mrs. Boehm feed?

Answers

This would be 7 1/9 or 64/9

In the formula that gives the circumference of a circle, which quantity is multiplied by 21 ?
A. Radius
B. Circumference
c. Diameter
D. Area ​

Answers

Answer:

Radius

Step-by-step explanation:

a new bank customer with $3,500 wants to open a money market account. the bank is offering a simple interest rate of 1.5%. a. how much interest will the customer earn in 20 years? b. what will the account balance be in 20 years?

Answers

In 20 years, the customer will earn $1050. The account balance at the end of 20 years is $4550.

a) The value of interest will the customer earn in 20 years is, $1,050

b) The account balance be in 20 years is, $4,550

What is Simple interest?

A quick and easy method of calculating the interest charge on a loan is called a Simple interest.

We have to given that;

A new bank customer with $3,500 wants to open a money market account. the bank is offering a simple interest rate of 1.5%.

Now, We know that;

⇒ Interest = Principal amount × Rate × Time

Substitute all the values, we get;

⇒ Interest = 3,500 × 1.5% × 20

                = 3,500 × 1.5 × 20 / 100

                = $1,050

And, The account balance be in 20 years is,

⇒ $3,500 + $1,050

⇒ $4,550

Learn more about the simple interest visit;

brainly.com/question/2294792

#SPJ2

what times 4/5 equals 3/10

Answers

Answer:

3/8

Step-by-step explanation:

make equation

x*4/5=3/10

simplify

4/5x=3/10

multiply both sides by 5/4

your answer is 3/8

The dimensions of a rectangular piece of construction paper are 11.5 inches and 18 inches. Maggie folded the piece of paper along its diagonal.

Which measurement is closest to the length of the diagonal in inches?


7.6 in

13.8 in.

21.4 in

29.5 in.​

Answers

C

Use the formula of the Pythagorean theorem. a^2 + b^2 = c^2

a = 11.5
b = 18

11.5^2 + 18^2 = 456.25^2
Sqrt(456.25) to find c

c=21.36 in.

The dimensions of a rectangular piece of construction paper are 11.5 inches and 18 inches. Therefore, the length of the diagonal in inches is 21.36.

What is Pythagoras' Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

|AC|^2 = |AB|^2 + |BC|^2    

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

The dimensions of a rectangular piece of construction paper are 11.5 inches and 18 inches.

Maggie folded the piece of paper along its diagonal.

Use the formula of the Pythagorean theorem.

[tex]a^2 + b^2 = c^2[/tex]

We have

a = 11.5

b = 18

[tex]= 11.5^2 + 18^2\\ \\= 456.25^2[/tex]

[tex]c = \sqrt{(456.25)}\\\\c = 21.36[/tex]

Hence, the length of the diagonal in inches is 21.36.

Learn more about Pythagoras' theorem here:

https://brainly.com/question/12105522

#SPJ2

24/27 Marks
Look at the right-angled triangle ABC.
A
Not drawn
accurately
X
N
75°
ТУ
B
С
The square fits exactly inside the triangle.
Work out the sizes of angles x, y and z.

Answers

Answer:

x= 105  z= 15  y=

Step-by-step explanation:

the ratio of teachers to students is 1 to 7. if there are 5 teachers, how many students are there?

Answers

there are 35 students..

Which of the following is a polynomial?
A.
(x - 2)
(x++3)
B. +2
х

c. x2-1
D. x + x4 + 16

Answers

Answer:

x++3 is even equal sides

Step-by-step explanation:

-9-2(7-4x)
What is the answer?

Answers

-9-2(7-4x) = 8x-23 !
-9-(14-8x)
-9-14+8x
8x+(-9-14)
=8x-23

What is -4(5 + (-2))

Answers

Answer:

-12

Step-by-step explanation:

5 + -2 = 3

-4 x 3 = -12

Answer:-12

Step-by-step explanation:

Which equation represents the height of the purple part of the wall?
о В.
A. 2 x 8 7 2 = 6 3 ft
B. 9x8* = 6 ft
ocx 10 = 6 ft
D. x 104 = 7ft

Answers

Answer:

ax + by = c

Step-by-step explanation:

Ethans cookie recipe uses 3 cups of sugar to make 18 cookies. Mia recipe uses 4 cups of sugar to make 28 cookies which has a greater to cookie ratio

A. Ethan

B.Mia

Answers

Answer: A

Step-by-step explanation: Ethan has a 1:6 ratio while Mia has a 1:7 ratio

What is the value of x in the equation 0.2(x + 1) + 0.5x = –0.3(x – 4)?

Answers

Answer:

x = 1

Step-by-step explanation:

Simply solve for x in the given equation

0.2(x + 1) + 0.5x = -0.3( x - 4)

Distribute the 0.2 and -0.3 to what is inside the fraction

0.2x + 0.2 + 0.5x = -0.3x + 1.2

Combine like terms

0.7x + 0.2 = -0.3x + 1.2

move all the variables to one side of the equation

1.0x = 1

then solve for x

x = 1

Which statement best describes the area of Triangle ABC shown below? A triangle ABC is shown on a grid. The vertex A is on ordered pair 4 and 6, vertex B is on ordered pair 6 and 1, and the vertex C is on ordered pair 2 and 1. It is twice the area of a rectangle of length 4 units and width 5 units. It is one-half the area of a rectangle of length 4 units and width 5 units. It is twice the area of a square of side length 5 units. It is one-half the area of a square of side length 5 units.

Answers

Answer:

It is one-half the area of a rectangle of length 4 units and width 5 units.

Please help!!! 20 POINTS!!

Answers

Answer:

it would be 9 by 6

Step-by-steit would be 9 by 6p explanation:

it would be 9 by 6

Long division 5th grade I’m sorry if I’m asking a lot but I’m really new to this

Answers

Answer:

95.2

Step-by-step explanation:

Answer:

95.2

Step-by-step explanation:

476÷5=95.2

[tex]\sqrt[5]{476} }[/tex]

9x5=45

47-45=2

bring down the 6

26

5x5=25

26-25=1

Since the one is excess the answer is 95 and 1/5

but 1 divided by 5 equals .2

so the answer would b 95.2

3x - 2y = -1
y = -x + 3
Is (1, 2) a solution of the system?
Choose 1 answer:
A
Yes
B
No

Answers

Answer: A, yes

Step-by-step explanation:

We live our lives taking each second for granted. But what would you do if you knew how much time you had left? Unus Annus. One year. This channel, much like all of you, has a limited amount of time. And every day we march ever closer to this channel’s inevitable doom. That means we’ll be uploading every single day until the clock strikes zero. And then, it’s game over. Bye, bye. Finito. Finished. Curtains. Gone, gone. Night, night. Dead. Forever. Make no mistake, this doesn’t mean that we’ll just stop uploading. When time runs out we will be deleting this channel and every single video on it. And you’ll never be able to see them again. Because much like death, you can’t take it with you. And all we’ll have is the memories that we make along the way… so the clock starts now. But the choice is yours. Will you join us? Or will you miss out on your one chance to be a part of Unus Annus? Because time is already running out. The train is already moving. So, subscribe now, because death is coming… For there are no second chances. And if you miss out all you’ll be left with is regret. Memento mori. We’ll see you tomorrow. Unus Annus.

Answers

Unus Annus, Memento mori.

Answer:

布盧

Step-by-step explanation:

-X + 3= -2


What ís the solution to this equation?

Answers

Answer:

-x = -2 - 3

Step-by-step explanation:

-x = -2 - 3

-x = -5 then make it positive

x = 5

-x+3=-2
-x=-5
x=5
the solution is 5

Solve:
3 + 2 + 52 × 6 − 3 =

(3 + 2) + 52 × (6 − 3) =

Answers

Answer:

314 and 161

just use bidmas

1. 3 + 2 + 52 * 6 - 3. *****For both of these questions, we will use BEDMAS = Brackets, Exponents, Division, Multiplication, Addition, Subtraction

3 + 2 + 52 * 6 - 3
= 3 + 2 + 312 - 3
= 314

So, the answer to this question is: 314.

2. (3 + 2) + 52 * (6 - 3)
= 5 + 52 * 3
= 5 + 156
= 161

So, in conclusion, the answer to this problem is: 161.

500 m + 350 m + 500 + 350 m + 450 m what is the perimeter ​

Answers

Answer:

2,150 m

Step-by-step explanation:

Find the circumference and the area of a circle with diameter 3 ft. Use the value 3.14 for pi, and do not round your answers. Be sure to include the correct units in your answers. ​

Answers

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

A bus traveling from Memphis to Nashville has an average speed of 53 mph. How long will the trip take in hours if the distance between the two cities is 220 miles? ( HOW DID YOU GET YOUR ANSWER PLEASE SHOW YOUR WORK, DO NOT BOTHER ANSWERING IF YOU DO NOT SHOW WORK AND TELL ME HOW YOU GOT YOUR ANSWER!!)
A. 48.14
B. 22.36
C. 192
D. 4.15
E. .50
F. 0
G. .251
H. 1.25
I. -135

Answers

Answer:

the answer is 4.15.

Step-by-step explanation:

this is super easy my ffriend. think about it. 53 miles per hour. how many miles do u go in an hour... 53 MILES PER HOUR. so you now know you go 53 miles every hour. so what you then do is see that it is 220 miles to ur destination. in an hour you go 53 miles so you take 220 DIVIDED BY 53 and you get ur answer.

Other Questions
Lexa doesnt understand why it is important to evaluate her decisions. What could you say to help her understand why it is important? A. It creates challenge. B.It defines the problem. C.It creates options. D.It helps to understand the consequences. Please help, due tomorrow. will give brainlistgiven f(x)=x^3-4x+k, and the remainder when f(x) is divided by x-5 is 91, then what is the value of k? A dilation has center (0,0). Find the image of the point B ( 5/3, -7/2) for the scale factor 1/3 Who does a United States senator represent and for how long do we elect each senator? Which galaxy helps show scientists how stars and star cluster are formed Pedro made a pot of coffee for some friends. he served 34 ounces to his friends and then measured that there were 20 ounces leftover. How much coffee did Pedro make? what is the division expression for 6/10 1. Tree #1 has a circumference of 29.48, find the diameter. * PLZZZ HELP ME meiosis makes four blank cells A) diploid B) haploid C) metabolic D) prokaryotic wat is $3.459B2.443B$55.838B85.965B in dollars pls can these side lengths form a triangle? Explain the different types of chromosomal mutations? What is the product of the polynomials (2x - x + 1)(x-3) ?A. 2x3-7x2 + 3x - 3B. 2r3-6x2 + 4x - 3C. 2x3-7x2 + 4x - 3D. 2x3 -6x2 + 3x - 3 20 POINTS! SAVE ME PLS!!!What is an easy way to determine the amount of valence electrons that an element will have?A. The valence electrons are the same as the period number.B. The valence electrons are the same as the atomic number.C. The valence electrons are the same as the 1's place of the group number.D. All of the above. Which group of people faced hard economic times even before the Great Depression began - mostly due to overproduction? HELPPPWhat is the value of d ?848010050 Jill got 36 out of 40 questions correct on her test. What percent of her test did she get correct? Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 16 people took the trip. She was able to purchase coach tickets for $210 and first class tickets for $1250. She used her total budget for airfare for the trip, which was $11,680. How many first class tickets did she buy? How many coach tickets did she buy? Simplify the expression... 0.04(0.7). hi it takes Diego 1/24 of an hour to complete a lap on a circular bike track. The track is 1/3 milelong. What is Diego's bike speed?1/8 miles per hour8 hours per mile8 miles per hour1/8 hours per mile