Find the first five terms of the following sequence: an = 2an-1 + 3 a1 = 2

Find the first five terms of the following sequence: an = 2an-1 + 3 a1 = 2

Find $\frac{3}{2^2(1)(2)}$ + $\frac{4}{2^3(2)(3)}$ +....+ $\frac{r+2}{2^{r+1}(r)(r+1)} +.... up to infinity.

a1 = 5, an = -3an-1 - 1, n > 1

a1 = 5, an = 2an-1 + n, n > 1

next number in the sequence 2, 7, 26, 101, 400

The first row of a movie display has 4 movies. Each row after the first has two more movies than the row above it

2a,4b,8ab,32ab2,256a2b3,......

I really need the answer to this!!!!!!! Please oh please :(

I really don't understand this, and I need to answer this question. Please answer it for me and explain a bit how. Or give me a website i can find how.

an = ?

Not sure how to do this? Answers are either: 878, 9493, 925, 8568 or none

i have tried a few variations on sequence possibilities but i am not getting the right answer

What is the A(1) term?

a1=1 and an= (an-1)2 + 1

Find the value of a (sub 4) - a (sub 3). I am expected to show my work.

If a1=1 and an=(an-1)^2 + 1.

Please can anyone solve this realy hard sequence problem?

there are choices, but i do not know how to get an answer without doing all the previous 19 terms...is there a formula to use? 1)80 2)91 3)95 4)101

Background information: nsin(1/n) diverges using the Test for Divergence. I was playing around on my calculator and I noticed that no matter what term number you use the output...

a. bn = 2n + 3 b. dn = (-1)n • n2