## anonymous 5 years ago Supposed p(n)=2^-n represents the nth partial sum of an infinite series Sum[s(n),n=1,Inf.]. Assume s(n) and p(n) are defined for all positive integers. What is the value of Sum[s(n),n=1,Inf.]? A. 0 B. 1 C. 2 D. 3 E. None of the above/ cannot be determined

1. anonymous

Suppose $p(n)= \frac{1}{2^n}$ represents the nth partial sum of an infinite series:$\sum_{n=1}^{∞}s(n)$ Assume s(n) and p(n) are defined for all positive integers. What is the value of $\sum_{n=1}^{∞}s(n)?$

2. anonymous

the limit of the series is the limit of the partial sums. This limit is clearly 0 so the limit of the series is 0.