SOLUTION: What is the sum Σ from n=1 to infinity for the expression (-1)^n+1 (1/3n). The correct answer is one of the following. Which one? A) 13/180 B) 7/36 C) -13/180 D) 2

Algebra.Com
Question 1198601: What is the sum Σ from n=1 to infinity for the expression (-1)^n+1 (1/3n).
The correct answer is one of the following. Which one?
A) 13/180
B) 7/36
C) -13/180
D) 25/36
E) -7/36

Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


Not clear. Use parentheses.

The expression as you show it:

(-1)^n+1 (1/3n) -->

Other possibilities for what the expression is really supposed to be....

(-1)^(n+1) (1/3n) -->

(-1)^(n+1) ((1/3)n) -->

All of those possibilities either do not converge or converge but not to any of the given answer choices.

Re-post, showing the problem clearly.


RELATED QUESTIONS

Find the sumΣ between n=1 and infinity for the expression 2(1/3)^n-1. The correct... (answered by ikleyn)
Compute the sum Σ from k=1 to infinity of (-7/6)^(k-1) The correct answer is one of... (answered by mccravyedwin)
Which expression represents the sum of the following? (3n / n^2 - 2n + 1) + (5 / n... (answered by checkley77)
Determine if the following series are convergent of divergent. If the series is geometric (answered by KMST)
What is the domain and range of the function f( x)=sin^-1 (x) The correct answer is one (answered by MathLover1)
Find the value of the series in the form a(pi)/b: sum (sin n^o/n), n = 1 to infinity.... (answered by ikleyn)
Dear math teacher, I am having difficulties with the following problem: How many... (answered by MathLover1,richard1234)
What is the value of this expression when n approaches infinity? 4-4/n+5/n+15/3n^2... (answered by ikleyn)
What is the value of this expression when n approaches infinity? 4-4/n+5/n+15/3n^2... (answered by MathLover1)