# Math Help - one more series question

1. ## one more series question

How would I show this:

If the series a_n with a_n > 0 is convergent, and if b_n = (a1 + a2 + .... + an)/n for n in N, then show that the series b_n is always divergent.

$b_n = \frac{a_1+\cdots+a_n}{n} \geq \frac{a_1}{n}$.
But, $\sum_{n=1}^{\infty} \frac{a_1}{n} = \infty$.