Answer to Question #51407 in Calculus for GILDONG

Question

Determine whether each of the following converges or diverges
i)∞
∑ 1/k(k-1)(k-6)
k=10

ii)∞
∑ sin k/ k^2
k=1

iii) ∞
∑ 1/2k^2+k
k=1


iv)∞
∑ 1/(ℓn k)^k
k=2

v) ∞
∑ k^k/ k!
k=1

vi) ∞
∑ (4k-5/2k+1)^k
k=2