Question

Compute the sum and the limit of the sum as n approaches infinity.

Answer 1

i could swear we just did this one

Answer 2

Yes we did I got it wrong...my teacher said it was incorrect

Answer 3

Was the previous answer \(\dfrac{(n+1)(8n+1)}{6n^{2}}\)?

Answer 4

no, @tkhunny i got two terms one is \[\frac{ 1 }{ n^3 } \frac{ n(n + 1)(2n + 1) }{ 6 }\] and the second term \[\frac{ 1 }{ n^2} \frac{ n(n + 1)}{ 2}\] i don't know what to after that.

Answer 5

How did you get that far? Did you pull out the 1/n^2?

Answer 6

@tkhunny yes

Answer 7

\(n^{3}\)? How did you get one of those?