$$\sum_{n=1}^{\infty} \frac{2}{n^{5}}$$
a) find the partial sum s5
I got
$$2 + \frac{2}{2^{5}}+\frac{2}{3^{5}}+\frac{2}{4^{5}}+\frac{2}{5^{5}}+\frac{2}{6^{5}}$$

is this correct?

b)find a value of n such that sn is within 0.0004
do I use the equation

s_n+1 - sn

Question

$$\sum_{n=1}^{\infty} \frac{2}{n^{5}}$$
a) find the partial sum s5
I got 
$$2 + \frac{2}{2^{5}}+\frac{2}{3^{5}}+\frac{2}{4^{5}}+\frac{2}{5^{5}}+\frac{2}{6^{5}}$$

is this correct?

b)find a value of n such that sn is within 0.0004
do I use the equation

s_n+1 - sn < 0.0004
?

australopithecus · Answer

wait I messed up it should only go to 2/5^(5)