AP Calculus BC -- Sequences & Series (divergence vs convergence)

when does a nth-term series converge?

never -- cannot test for convergence

when does a nth-term test diverge?

when the limit of the series as n —> ∞ does NOT equal 0

when does a geometric series converge?

when |r| < 1

when does a geometric series diverge?

when |r| ≥ 1

when does a p-series converge?

when p > 1

when does a p-series diverge?

when p ≤ 1

does the alternating series test test for convergence or divergence?

convergence