If ∑n=1∞an\sum_{n=1}^{\infty} a_n∑n=1∞an diverges and ∑n=1∞bn\sum_{n=1}^{\infty} b_n∑n=1∞bn converges, what is true about ∑(an+bn)\sum (a_n + b_n)∑(an+bn)?
It must converge
It equals the sum of the two series
It could converge or diverge
It must diverge