Question

determine whether the series is convergent or divergent by expressing Sn as a telescoping sum. If it is convergent, find its sum

Answer 1

\[\sum_{n=1}^{\infty} \frac{ 3 }{ n^2+3n}\]

Answer 2

@mathmath333 do i need to use partial fraction decomposition on this one to find if it diverges or converges?

Answer 3

it might be useful since the hint mentions telescoping

Answer 4

@amistre64 i need help

Answer 5

i separated the n^2+3n into n(n+3) therefore A/n + B/n+3