Question

test the convergence of

Answer 1

\[\sum_{n=1}^{\infty} (-1)^n \frac{ 1 }{ 3n+4 }\]

Answer 2

Try the alternating series test. \(\sum (-1)^na_n\) converges if \(a_n\ge a_{n+1}\) and \(a_n\to0\).

Answer 3

oh thanks ^^,

Answer 4

@SithsAndGiggles do i hv to use induction method for that

Answer 5

Yes, that would be the formal approach. It should be fairly easy to see that it is indeed a non-increasing sequence.

Answer 6

oh okay,thanks again

Answer 7

yw