$$\sum_{n=0}^{\infty} 8.5n=\infty$$
However
8.5+2*8.5+3*8.5.......n*8.5
is the sum of a geometric series
a=8.5
r=8.5
$$\\s_n=\frac{a(r^n-1)}{r-1}\\\\
s_n=\frac{8.5(8.5^n-1)}{8.5-1}\\\\
s_n=\frac{8.5(8.5^n-1)}{7.5}\\\\$$
I think I got the formula right.