# algebra

does the infinite geometric series diverge or converge?
1/7 + 1/14 + 1/28 + 1/56 +

1. 👍 0
2. 👎 0
3. 👁 127
asked by jerson
1. sum = a/(1-r)
= (1/7)/(1-1/2)
= 2/7

so it converges

1. 👍 0
2. 👎 0
posted by Reiny

## Similar Questions

1. ### Algebra 2

I need steps on how to complete this please i am so confused and lost. :( Consider the infinite geometric series x e n=1 -4(1/3) n-1. In this image, the lower limit of the summation notation is "n=1". a. Write the first four terms

asked by Sammy on March 10, 2015
2. ### Math

Does the following infinite geometric series diverge or converge? Explain. 1/5 + 1/25 + 1/125 + 1/625 A) It diverges; it has a sum. B) It converges; it has a sum. C) It diverges; it does not have a sum. D) It converges; it does

asked by M, S, E, on May 4, 2017
3. ### Calculus

Infinite series question. an=2+(0.99)^n Converge or Diverge?

asked by Mike on August 31, 2011
4. ### 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? Is this possible? The sum of an

asked by Jane E. on May 31, 2007
5. ### 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.

asked by Lucina on February 17, 2015
6. ### Math

Does the following infinite geometric series diverge or converge? Explain. 1/7+1/28+1/112+1/448 A) It converges; it has a sum.*** B) It diverges; it does not have a sum. C) It diverges; it has a sum. D) It converges; it does not

asked by M, S, E, on May 11, 2017
7. ### Math

Does the following infinite geometric series diverge or converge? Explain. 3 + 9 + 27 + 81 + . . . A) It diverges; it does not have a sum. B) It converges; it has a sum.*** C) It diverges; it has a sum. D) It converges; it does

asked by M, S, E, on May 4, 2017
8. ### Calculus 2

n=1 series to infinity (-5^n)/n^3 does it absolutely converge, diverge or conditionally converge. Would I be applying the ratio test?

asked by James on November 3, 2012
9. ### algebra

Can someone please help me with this problem? Thanks! Evaluate the infinite geometric series: 8+4+2+1+... I thought you needed to know the number of terms to evaluate, but how do you know them if it is infinite? The limit of Sn =

asked by Mercy on May 30, 2007
10. ### Calc

Does 1/ln(x+1) converge or diverge? I've tried the nth term test, limit comparison test, and integral test. All I get is inconclusive. The other tests I have (geometric series, p-series, telescoping series, alternating series, and

asked by Mischa on March 22, 2007

More Similar Questions