you know that 1/n diverges
so, also does 1/(n+2) since
∞
∑ 1/(n+2)
n=1
is the same as
∞
∑ 1/n
n=3
lopping off the first two terms and multiplying by 5 doesn't affect the divergence
Find if the sequence an = 5/(n+2) diverges or converges.
I think it diverges because the limit as x approaches infinity does not exist.
1 answer