compute s4, the partial sum consisting of the first 4 terms of

Question

compute s₄, the partial sum consisting of the first 4 terms of

∞

∑ 1/k²

k=1

Answer 1

To calculate S4, we need to add up the first 4 terms of the series. Since k starts at 1, we will plug in k = 1,2,3, and 4.

S4 = 1/1^2 + 1/2^2 + 1/3^2 + 1/4^2 = 1 + 1/4 + 1/9 + 1/16 = 205/144