The sum of the first ten terms of the given sequence when approximated to four decimal places is; 9.6758
What is the sum of the sequence?
We are given the formula for the sequence as;
aₙ = 1 + (⁻¹/₂)ⁿ
Thus;
First term; a₁ = 1 + (⁻¹/₂)¹ = 0.5
a₂ = 1 + (⁻¹/₂)² = 1.25
a₃ = 1 + (⁻¹/₂)³ = 0.875
a₄ = 1 + (⁻¹/₂)⁴ = 1.0625
Fifth term; a₅ = 1 + (⁻¹/₂)⁵ = 0.96875
a₆ = 1 + (⁻¹/₂)⁶ = 1.01563
a₇ = 1 + (⁻¹/₂)⁷ = 0.99219
a₈ = 1 + (⁻¹/₂)⁸ = 1.00391
a₉ = 1 + (⁻¹/₂)⁹ = 0.99805
Tenth term; a₁₀ = 1 + (⁻¹/₂)¹⁰ = 1.0098
Thus, sum of all those ten terms is;
S₁₀ = 9.6758
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Financial algebra: advanced algebra with financial applications workbook answers
An example of Financial algebra is find the 20% increase to the original price of 1.2.
What is Financial algebra?Financial Algebra is known to be a type of semester course that is often made for the upperclassmen. It is one that has been set up to create a good and strong foundation in logical thinking and problem solving in terms of finance and money.
= 20% of the price = 1.2
The cost of the selling price of share = 1.247.65
Therefor it will be= 57.18
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sally really loves being outdoors. she likes to hike, do yoga in the warm sun, and go for long camping trips. she and her wife move to arizona from new york so that they can enjoy these activities in warmer weather for most of the year. this process of moving to an area that is most suited for one’s personality tendencies is called selective ________.
One of the largest quakes ever recorded in modern times took place in southern Chile and measured 9.5 on the Richter scale.
What does the Richter scale measure?
The Richter scale measures the largest wiggle (amplitude) on the recording, but other magnitude scales measure different parts of the earthquake. The USGS currently reports earthquake magnitudes using the Moment Magnitude scale, though many other magnitudes are calculated for research and comparison purposes.
Which of these statements accurately describes the ku klux klan? check any of the boxes that apply. Members tried to hide their identities. The klan supported radical reconstruction. Members attacked african americans and white people. The klan was the only white supremacy group in the south
The statements which accurately describes the Ku Klux Klan is:
Members tried to hide their identities.Members attacked African Americans and White people.What is the Ku Klux Klan?The Ku Klux Klan can be defined as two distinct hate and White supremacist terrorist organization that was founded in 1865 in the United States of America.
The main purpose of the Ku Klux Klan was to suppress and victimize African Americans, especially those that were newly freed as slaves.
In conclusion, the statements which accurately describes the Ku Klux Klan is:
Members tried to hide their identities.Members attacked African Americans and White people.Read more on Ku Klux Klan here: https://brainly.com/question/180449
Answer:
A and C
Explanation:
Members tried to hide their identities.
Members attacked African Americans and white people.
"if i eat spicy foods, then i have strange dreams." "i have strange dreams if there is thunder while i sleep." "i did not have strange dreams."
The expression "i did not have strange dreams." validates the statements below "I did not eat spicy foods" and "there is no thunder while I sleep"
Validity of Logical StatementsIn this exercise, the person gave three logical statements which are
"if i eat spicy foods, then i have strange dreams." "i have strange dreams if there is thunder while i sleep.Now since the person did not have/ experience strange dream, this proves that the person did not eat spicy food and there was not thunder while the person was asleep.
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Go math grade 5 chapter 10 mid chapter checkpoint answer key
An example of go math grade 5 chapter 10 mid chapter checkpoint Question is 90 in. = ______ ft ______ in. The answer is 7 ft 6 in.
What is Go math grade 5 about?This is a math practice book that has been made specifically for grade 5. It aim to tech the students various topics in math that will broaden their level of understanding.
The question of 90 in. = ______ ft ______ in.
To solve for it, one has to change the larger unit into the smaller unit.
Thus we then Convert inches to feet.
1 feet is made up of = 12 inches
90 inches = 84 inches + 6 inches
Then 84/12 = 7 feet
Therefore, 90 in. = 7 ft 6 in.
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How many ways can you listen to 3 songs from a cd that has 12 selections?
Taking into account the definition of permutation, there are 1320 ways you can listen to 3 songs from a cd that has 12 selections.
What is permutationPermutations refer to the action of arranging all the members of a set in some kind of order or sequence. This means that if a set is already ordered, the process of rearranging its elements is called permutation.
In other words, permutations of m elements in n positions are the different ways in which the m elements can be arranged occupying only the n positions.
In this case, the elements are not repeated, since if they are repeated or equal to each other, exchanging them does not generate a new permutation. And the order does matter, since the exchange between two different elements generates a new permutation
To obtain the total of ways in which m elements can be placed in n positions, the expression is used:
[tex]P=\frac{m!}{(m-n)!}[/tex]
The sign ! indicates the factorial function, which indicates that all positive integers between the number that appears in the formula and the number 1 must be multiplied.
Number of ways you can listen to 3 songsThe order in which songs are listening is important as there is no plan to listen to the same song twice. So, the permutation can be applied.
Being:
m=12n=3and replacing in the expression for permutation, you get:
[tex]P=\frac{12!}{(12-3)!}[/tex]
[tex]P=\frac{12!}{9!}[/tex]
[tex]P=\frac{479001600}{362880}[/tex]
P= 1320
Finally, there are 1320 ways you can listen to 3 songs from a cd that has 12 selections.
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When reacting na with cl2, we calculated that the theoretical yield should be 13
Answer:
96.15
Explanation:
when reacting with Na with Cl2, we calculated that the theoretical yield should be 13.0 grams. our actual yield was 12.5 grams. what is the percent yield? 96.15
You are playing a game where you are rolling a fair 6 sided number cube
if I'm not wrong you might be talking about the game Dice???
Based on what you have learned, write a short paragraph to serve as the introduction to gandhi’s obituary
Answer:
We are here today to remember the life of Mohandas Gandhi, leader of the Indian independence movement. An assassin cut short Gandhi's life, but we should best remember him not for his death but for the way he chose to live.
Explanation:
Edge
18.1 angles of rotation and radian measure answers
An example of angles of rotation and radian measure question is convert the measure 20° to radian and then from radian to degree.
How does Radians and degrees both measure angles?Radians and degrees are known to often measure angles. Note that one can convert from radian to degree and from degree to radian.
Note that one rotation that is around a unit circle is said to equals 360 degrees or 2π radians.
To solve for the option above 20°
One can say in Radian, it will be π/180
In degree , it will be π/9
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A large industrial machine is able to monitor brainly
yes, they just monitor by flagged key words.
when a company cannot fully satisfy demand because of a constraint, which of the following describes an action that should not be taken?
The action that should not be taken by the company is tightening the constraints.
How does a company satisfy their demands?A company is able to satisfy the demands from its customers through the following:
empowering of customers as they like to be valued,satisfying fragmented demands,increasing agility andintroducing innovative services.Therefore,when a company cannot fully satisfy demand because of a constraint, the action that should not be taken by the company is tightening the constraints.
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According to your research, you need to budget for insurance and gasoline if you choose to buy or lease the new car. If you choose to buy the used car, you need to budget for insurance and gas
Based on your research, you need to budget $275 for insurance and gasoline if you choose to buy or lease the new car and If you choose to buy the used car, you need to budget $225 for insurance and gas.
What is budget?A budget is a term that connote the estimation that is done for revenue and expenses in a a specified future timeframe.
It is known to be often used by governments, businesses, and individuals and research has shown that a person needs to budget $275 for insurance to buy or lease the new car.
See full question below.
According to your research, you need to budget _____
for insurance and gasoline if you choose to
buy or lease the new car.
If you choose to buy the used car, you need to budget _____
for insurance and gas.
$225 $200
$250 $225
$275 $250
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Answer:
$275
$225
Explanation:
If the triangle is equilateral then it is equiangular brainly
Answer:
Always true
Explanation:
An equiangular triangle has three equal sides, and it is the same as an equilateral triangle.
Hope my answer helped :)
How to simplify numerical expressions with exponents
Answer:
By multiplying it with each others
Answer:
multiply
Explanation:
Fast food restaurants keep food warm by placing them under heat lamps. These lamps transfer heat by what means?
Answer:
Fast food restaurants keep food hot with infrared lamps. The heat is transferred to the food by radiation
Explanation:
the heat lamps produce radiation just like a microwave.
Water has a low specific heat and changes temperature easily, which keeps land near large bodies of water cooler in the summer months and warmer in the winter months.
Water has a low specific heat and changes temperature easily, which keeps land near large bodies of water cooler is False.
What is Specific heat capacity?This is defined as the quantity of heat required to raise the temperature of one gram of a substance by one Celsius degree.
it takes a lot of energy to increase the temperature of water which means it has a high specific heat capacity in this scenario.
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Answer:
False
Explanation:
select the correct proper or common name for the compound.
Answer:
Select the correct proper or common name for the compound. ) ale F F The compound is named: benzyl 2,3,4-trifluorobutanoate phenyl 2,3,4-trifluorobutanoate phenyl 1,2,3-trifluorobutanoate O 1,2,3-trifluoropropylbenzoate Classify the compound by family. The compound is an ester an anhydride an acid chloride a carboxylic acid an amide.
Explanation:
A 10-newton object moves to the left at 1 m/s. Its kinetic energy is approximately ____ joules
Answer:
0.5
I hope this helps you
:)
The kinetic energy will be "0.5 J". To understand the calculation, check below.
Kinetic EnergyAccording to the question,
Mass or object, m = 10 N or,
= 1 kg
Speed, v = 1 m/s
We know the formula,
→ Kinetic energy, K.E = [tex]\frac{1}{2}[/tex] mv²
By substituting the values, we get
= [tex]\frac{1}{2}[/tex] × 1 × (1)²
= [tex]\frac{1}{2}[/tex] × 1 × 1
= [tex]\frac{1}{2}[/tex]
= 0.5 J
Thus the above answer is correct.
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If a+b=-8 and a + b = 50, what is the
a
value of ab?
Answer:
sorry is that question correct pls
8-1 skills practice multiplying and dividing rational expressions
To multiply or divide rational expressions, what is expected is that the 2 numerators and the 2 denominators are multiplied or divided with each other.
What is a rational expression?This is the ratio of two polynomials in mathematics. To multiply the expression it is the same as the normal multiplication done in mathematics.
The numerators first have to be multiplied together and then the same is done to the denominator.
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What is the sum of the series 1+ln2+(ln2)22!+⋯+(ln2)nn!+⋯?
Answer:
e
ln
(
2
)
=
2
Explanation:
Select the transition that results in the greatest energy change when an excited electron relaxes to a lower state in a hydrogen atom.
n=5 to n=4 is the transition that results in the greatest energy change relaxes to a lower state.
What is Transition state?This is defined as a particular configuration along the reaction coordinate.
n=5 to n=4 is involved in a chemical reaction as the electrons can be shared.
This is the reason why it has the greatest energy change when an excited electron relaxes to a lower state in a hydrogen atom.
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The product of 2 positive integers is 78. The greater
integer is 1 more than twice the lesser integer. What is
the greater integer?
Answer:
it's ez add it and it should give u the question
Explanation:
yea add it and u will get it
Based on the equation and the titration results what is the concentration of the h2so4(aq)
Answer:
The value is going to be 0.96 M. You would need to refer to the chart so that you can solve the question properly. To solve for the value of this, you need to know the value of each mole. The equation is going to be MaVa=MbVb x (12). You would need to change the concepts to (0.16)(36.0) x = 0.48.
An anthropologist has determined that a newly discovered human bone is 8000 years old. how much of the original amount of carbon-14 is in the bone?
Given that the age of the discovered bone is 8000 years, The original amount of carbon 14 that is in this bone is 38.29%
What is carbon 14?This is a method of radiocarbon that isused in the age determination of substances. That is after the dacay of nitrogen.
The formula that is used to determine the original amount of carbon 14 in the bone is given as:
[tex]y = ae^-^0^.^0^0^0^1^2^t[/tex]
The value of t is given as 8000.
What is to be done is to solve the equation using the value of t
[tex]y = ae^-^0^.^0^0^0^1^2^(^8^0^0^0^)[/tex]
= ae⁻⁰.⁹⁶
Solve for exp(-0.96)
y = 0.3829a
= 38.29%
Therefore the amount of carbon 14 that is in the bone is 38.29%
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for any given year, the cpi is the price of the basket of goods and services in the
Answer:
a.given year divided by the price of the basket in the base year, then multiplied by 100.
Explanation:
A food worker has prepared a large pot of rice that must be cooled
Mark wants to determine the height x of a nearby tree
The height of the tree that can be determined by Mark will be 27.6 feet.
How to calculate height?From the complete question, Mark wants to determine the height x of a nearby tree as he stands 47 feet from the base of the tree and the measure of the angle of elevation is 36°.
The height of the tree will be:
= 47 × sin 36°
= 47 × 0.5878
= 27.6
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