53 Answered Questions for the topic Geometric Series

08/20/19

#### Find common ratio - Geometric series

The sum of the first seven terms in a geometric series is 7. The sum of the next seven terms is 896. Find the common ratio.

08/04/19

#### This question is related to Sigma notation. Please help me go through this.

Use properties of summation and constant/arithmetic/geometric series to find n+1∑r=3 (n+2+3r+1/5^r) in terms of n.

08/04/19

#### find the least value of n for which the sum to n terms of the geometric series 1+0.98+(0.98)^2+(0.98)^3+...is greater than half the sum to infinity.

6 marks question

03/01/19

#### Geometric series and its sum as a fraction

Express the repeating decimal 0.378378... as a geometric series and find its sum as a fraction.

09/24/18

#### Sum of the first 11 terms of a geometric series is -44287?

a. -3 + 9 - 27 +.... -177147B. -1 + 3 - 9 +..... -59049c. -5 -45 + 135 -..... -295245d. -4 + 12 - 36 +...... -236196

08/02/18

#### !!!!!algebra 2 question! need help ASAP!!!!!!

Explain why we can have a converging infinite series when 0 < r < 1. Hint: Use "sum of a finite geometric series" as a basis for your explanation. ...
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06/28/18

#### what is the sum of the first five terms of a geometric series with a1=6 and r=1/3

Find the first five terms of a1=6 and r=1/3

05/31/18

#### I need to find out what I am increasing by in this problem. a sub 1 = 15 and a sub 100 = 307 what is the sum of the first 100 terms?

a1=15 and a100 = 307 find the sum of the first 100 terms

04/23/18

#### For each of the following, decide if the given series is a geometric series. 5-20+80-320+1280-...

For each of the following, decide if the given series is a geometric series.
A. 5-20+80-320+1280-...
Yes or no?
If this is a geometric series, what is the first term?
and the ratio...
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02/13/18

#### How much will she be earning in her 10th year in the job? How much in total will she earn in the first 10 years she works for this firm?

Claire has a starting salary of €20,000 and gets a 5% increase per year. How much will she be earning in her 10th year in the job? How much in total will she earn in the first 10 years she works...
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01/12/18

#### Word Question for geometric series

A square has sides 2 cm long. The midpointsof each side are joined to form a secondsquare. The same procedure is done to thethis square to get a third square. If thiscontinues until 8 squares are...
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10/23/17

#### A ball drops from a height of 20 feet. Assume it goes on forever, find the total distance it travels.

A ball drops from a height of 20 feet. Each time it hits the ground, it bounces up 40 percents of the height it fall. Assume it goes on forever, find the total distance it travels.

10/15/17

#### In a geometric series, the 3rd term is 45 and the sum of the first 7 terms is 2735. Find the first term and the common ratio, r.

I need to do this without a graphing calculator... I got up until.. 45r7-2735r3+2735r2-45=0
What next steps do I need to do to get r?

08/12/17

#### if 1,000,000 is the first number of a series and it is alternately multiplied by 2 and divided by 5, what is the las tinteger in the series?

the answer should be in the form ab where a and b are integers and a is the as small as possible.

08/10/17

#### Please answer it with solution

A young professional lady would like to invest money for savings. As consultant, she asked you which of the two companies is better to invest money. Company A requires P25, 000 initial investment...
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04/06/17

#### how is cos24 = .424

it says thats the answer i dont know how that is possible because cos24 = .9135... if thats the case what is cos28?

04/02/17

#### the sum of a geometric series with 15 terms whose first term is 120 and whose common ratio of 0.85 is closest to?

I cannot figure out where to begin with these choices:
1) 730
2) 745
30 820
4) 910

04/02/17

#### if the following sum represents a geometric series, then what is its value?

5 + 15 + 45 + ... + 98,415

02/06/17

#### Mathematical Statements and truth Values

P - the sun is shiningq - it is rainingr - the cat is insidea - the sun is shining and the cat is inside.b - if it is raining then the sun is not shiningc - if it is not raining the cat is not...
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02/06/17

#### After each washing of a pair of jeans, 1.8% of the dye washes out. How much dye remains after 12 washings?

After each washing of a pair of jeans, 1.8% of the dye washes out. How much dye remains after 12 washings?

01/31/17

#### Geometric series

The first and the last terms of a geometric series are 2 and 2048 respectively. The sum of the series is 2730. Find the number of terms and the common ratio.

01/13/17

#### Geometric Series

1. In a geometric series, t1=3 and S3=21. Determine the common ratio and an expression for the sum of the first k terms.

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