Question

Pls help sum of the series
1/2 - 1/2(1/2)^2 + 1/3(1/2)^3 - 1/4(1/2)^4 + .....

Answer 1

\[\sum_{n=1}^{\infty}\](-1)^n 1/(2n)^n

Answer 2

make that (-1)^n+1

Answer 3

I dont have any idea about series, pls be more specific

Answer 4

this is an alternating series. You can tell by the way that its going from positive to negative. To find the sum you need to find it to the nth term.

Answer 5

thats where the sum I placed in the first comment is the sum to the nth term. What I would want to know is if you're trying to find if its convergent or divergent?

Answer 6

i dont have any clue about series so i cant understand it :(

Answer 7

whats the directions asking?

Answer 8

the sum of that series, is the first comment the formula or the answer?

Answer 9

thats the formula

Answer 10

how can i add in the nth term?

Answer 11

its ln(3/2)