# Algebra

posted by .

I need some help!

Determine whether infinite geometric series has a finite sum. If so, find the limiting value.

112+56+28+....

• Algebra -

looks like a GS were r = 1/2
so , yes, there is a limiting value

Sum∞ = a/(1-r) = 112/(1/2) = 224

## Similar Questions

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I need some help! Determine whether infinite geometric series has a finite sum. If so, find the limiting value. 112+56+28+....
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Q.Determine the sum of each infinite geometric series. t_1= 8 r = -2^1/2 ---------------------------------------- A.This is a divergent series because the absolute value of r is greater than 1. ---------------------------------------- …
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Determine whether the infinite geometric series converges. If so, find the sum 1/4+1/16+1/64+1/256....

More Similar Questions
single_question_with_answer

the text passage contains a mathematical question about an infinite geometric series and provides an answer to that question. the question is whether the infinite geometric series 112 + 56 + 28 + ... has a finite sum, and if so, what is the limiting value. the answer given is that the series has a common ratio of 1/2, and the sum of the infinite series is 224.
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# Algebra

posted by .

I need some help!

Determine whether infinite geometric series has a finite sum. If so, find the limiting value.

112+56+28+....

• Algebra -

looks like a GS were r = 1/2
so , yes, there is a limiting value

Sum∞ = a/(1-r) = 112/(1/2) = 224

## Similar Questions

1. ### algebra

Okay, I was taught that if a geometric series is infinite and it diverges then it has no limit and no sum. Looking back in my notes, I found an example of finding the value for a divergent series?
2. ### algebra

1)Find a1 in a geometric series for which Sn=300,r=-3,and n=4 a.15 b.15/2 c.-15 d.1/15 answer=a 2)Find the sum of the infinite geometric series n=1 at the bottom of the sigma notation 20(-1/4)n-1 on the right side a.25 b.80/3 c.16 …
3. ### algebra(check)

1)Find a1 in a geometric series for which Sn=300,r=-3,and n=4 a.15 b.15/2 c.-15 d.1/15 answer=a 2)Find the sum of the infinite geometric series n=1 at the bottom of the sigma notation 20(-1/4)n-1 on the right side a.25 b.80/3 c.16 …
4. ### algebra

1)Find a1 in a geometric series for which Sn=300,r=-3,and n=4 a.15 b.15/2 c.-15 d.1/15 answer=a 2)Find the sum of the infinite geometric series n=1 at the bottom of the sigma notation 20(-1/4)n-1 on the right side a.25 b.80/3 c.16 …
5. ### algebra

1)Find a1 in a geometric series for which Sn=300,r=-3,and n=4 a.15 b.15/2 c.-15 d.1/15 answer=a 2)Find the sum of the infinite geometric series n=1 at the bottom of the sigma notation 20(-1/4)n-1 on the right side a.25 b.80/3 c.16 …
6. ### math(need 2nd opinion)

1)Find a1 in a geometric series for which Sn=300,r=-3,and n=4 A)15 B)15/2 C)-15 D)1/15 I chose A 2)Find the sum of the infinite geometric series. Sigma sign with infinity symbol above and n=1 below. To the right 20(-1/4)n-1 A)25 B)80/3 …
7. ### Algebra

Two questions I need help with. Find the indicated partial sum using the information given. 1. a3=4/9, a7=9/64, S6 Determine wheater the infinite geometric series has a finite sum 2. 6+ 3+ 3/2 + 3/4 +.... 3. -49 + (-7) + (- 1/7) +...
8. ### Algebra

I need some help! Determine whether infinite geometric series has a finite sum. If so, find the limiting value. 112+56+28+....
9. ### Pre-Calculus

Q.Determine the sum of each infinite geometric series. t_1= 8 r = -2^1/2 ---------------------------------------- A.This is a divergent series because the absolute value of r is greater than 1. ---------------------------------------- …
10. ### Math

Determine whether the infinite geometric series converges. If so, find the sum 1/4+1/16+1/64+1/256....

More Similar Questions
user
TYPE: SINGLE_QUESTION_WITH_ANSWER

The text passage contains a mathematical question about an infinite geometric series and provides an answer to that question. The question is whether the infinite geometric series 112 + 56 + 28 + ... has a finite sum, and if so, what is the limiting value. The answer given is that the series has a common ratio of 1/2, and the sum of the infinite series is 224.