Hi,(adsbygoogle = window.adsbygoogle || []).push({});

I'm working on this problem:

If {s_n} is a nondecreasing sequence and s_n>=0, prove that there exists a series SUM a_k with a_k>=0 and s_n = a_1 + a_2 + a_3 + .......+ a_n.

I'm not sure where to start. I wrote out the sequence's terms:

s_n = (s_1, s_2, s_3, .....s_n)

Then I wrote;

s_1=a_1

s_2=a_1+a_2

.

.

s_n=a_1+a_2+......a_n

I'm unclear about exactly what I need to go for.

Any clarifiction will be greatly appreciated.

CC

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Infinite series proof

**Physics Forums | Science Articles, Homework Help, Discussion**