## Series Resources Document 436k

I create cheat sheets after giving the same lesson over and over again. This one covers the 10 series convergence tests for convergence... Document 333k

I create cheat sheets after giving the same lesson over and over again. This one covers sequences and series.  Nice collection of series... If a4= 4 of an AP then find the sum of first 7 terms of the corresponding arithmetic series

If im given with the 4th value and the total terms how do I solve without a1 or an and d what set does -22 belong to

what set does this number go to I'm having trouble with series.

Let f(x)= ∑∞n=0 (x^n)/(n!) Find f(0)= 1 f(1)= e f'(x)= f(x) f''(x)= f(x) Not exactly sure how we're supposed to go about finding those answers, or how to start. in a given numbers series 01 to 49, how many series of 6 numbers can be formed???with illustrations

Given numbers 01 to 49, make unique series of 6 numbers....I e if we select 5,11,19,22,31,49/1,9,16,29,33,44 then they shd be found there..... Sequences and series question - asked in description :)

Let (an) and (bn) be sequences of real numbers with an ≥ 0 for all n ∈ N. Suppose that an ≤ bn for all n ∈ N and that the sum of all bk from k=1 to infinity is convergent. Prove...

I couldn't figure out how to do this :/ Determine whether the sequence converges or diverges. If it converges find the limit.

an=e(-1/sqrt(n)) Apparently in converges and the limit is 1 but I'm not really sure how to do this type of problem with a limit of ex   {n2e-n} Limit converges to 0? How?... Series Converges

A series is given as below, 2-2^2/(x+1)+2^3/(x+1)^2 -2^4/(x+1)^3 +⋯+2^r/〖(-(x+1)〗^(r-1) +⋯ I) Find the set of values of x such that the series converges...