Verified answer

Ok but Raffaele is right.We cannot determine convergence or divergence

without having the An term because:

Σ(n = 0 to ∞) (-1)^n[1/n]

this is a convergent series as lim 1/n =0 (as n->∞)

and an+1 ≤ an

but if you take:

Σ(n = 0 to ∞) (-1)^n[n/(7n-6)]

then it is a divergent series as lim n/(7n-6) ≠ 0 (as n->∞)

something is missing

alternate series converge only if

lim An = 0 (n --> infinity)

sometimes called Leibnitz criterium