If ∑n=1∞an=10\sum_{n=1}^{\infty} a_n = 10∑n=1∞an=10, what is ∑n=1∞(an+1n2)\sum_{n=1}^{\infty} (a_n + \frac{1}{n^2})∑n=1∞(an+n21)?
10+π2610 + \frac{\pi^2}{6}10+6π2
101010
Diverges
10+π210 + \frac{\pi}{2}10+2π