ok, the series converges.
$$\sum_{n=1}^{infty} (-1)^{n}/ n 5^{n}$$

How many term of the series do we need to add in order to find the sum to the indicated accuracy.

(|error|

Question

ok, the series converges. 
$$\sum_{n=1}^{infty} (-1)^{n}/ n 5^{n}$$

How many term of the series do we need to add in order to find the sum to the indicated accuracy.

(|error| <0.0001)

anonymous · Answer

0.22266666666666666666666666  is the addition of 3 terms

anonymous · Answer

how do i find the error again? I would divide the above number by....?

experimentx · Answer

is it
$$ \sum_{n=1}^\infty \frac{(-1)^n}{n \times 5^n}$$

experimentx · Answer

If it's either of them individually, then they have standard values.

experimentx · Answer

for (|error| <0.0001) ... evaluating upto 4 terms would be sufficient.

anonymous · Answer

ohh..I didn't see the replies....THANKS!!!

anonymous · Answer

In an alternating series the error is less than the first unused term. So @experimentX  is right since
$$
\frac{1}{5. 5^5}=0.000064 < .0001
$$

anonymous · Answer

thanks!

experimentx · Answer

yw

anonymous · Answer

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