# 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 not have a sum.

1. 👍
2. 👎
3. 👁
1. the terms are getting larger
... diverging

1. 👍
2. 👎
2. So if the terms get larger it's called diverging and if they get smaller it's converging.

1. 👍
2. 👎
3. Also, what does it mean to have a sum. Wouldn't you be able to add and series of numbers regardless of them being divergent or convergent?

1. 👍
2. 👎

## Similar Questions

1. ### math(geometric series)

the common ratio of the infinite geometric series whose 2nd term is 3/2 and its sum is 8?

2. ### Math

Where does this infinite series converge: Sigma (k = 1 to infinity): 1/(9k^2 + 3k - 2)

3. ### Math

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

4. ### sum geometric series

what is the sum of geometric infinite series 3/2+ 9/16+ 27/128+ 81/1024=.... i know the formula is S=a/(1-r) my teacher, he usually transforms into a formula of the sum series and finds out a and r.but i don't how to do that. the

1. ### 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

2. ### Calculus

Consider the series 1/4+1/6+1/9+2/27+4/81+.... Does the series converge or diverge? Is the series arithmetic, geometric, neither, or geometric with an absolute value of the common ration being greater/ less than 1?

3. ### 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

4. ### Algebra 2

Describe an infinite geometric series with a beginning value of 2 that converges to 10. What are the first four terms of the sequence? a{1} = first term of series ∞ Infinite Sum = ∑ a{1} • r^(n – 1) = a{1} ⁄ (1 – r)

1. ### algebra

consider the infinite geometric series n=1 -4(1/3)^n-1 . i need help with writing the first four terms of the series and finding the sum if it has a sum.

2. ### Algebra

1. Why cant you use the formula of the infinite geometric series on 1/81 + 1/27 + 1/9 + 1/3 + ..... 2. Using concepts of infinite geometric series, show that 0.9999 ..... = 1.

3. ### Math

1.calculate the sum of the infinite series S(infinity)=16+4+1+..., (1 point) A. -16/3 B.64/3 C.12 D. It does not converge 2.Which of the following formulas can be used to write 0.797979... as a fraction?

4. ### Calculus

Which of the following statements is true for the series the summation from n=0 to infinity of (-1)^n and 5/4^n? a) The series diverges because it is geometric with r = 5/4 and a = –1. b) The series converges to 4 because it is