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

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

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.

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.

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?

an = ?

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

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

Please can anyone solve this realy hard sequence problem?

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

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...

an = ?

a. bn = 2n + 3 b. dn = (-1)n • n2

What is the next number in this sequence 7 21 8 72 9.....I need to answer this question for a test and math has been a long time ago. What is the best way to relearn math sequences and probability...

The first four terms of a sequence are 3/2, 15/16, 75/128, and 375/1024. Determine S24. Round your answer to four decimal places

On January 1, 2026 Janice put $450 in a savings account. She had to choose between two accounts. The account at her mothers bank pays 4.2% interest once at the end of the year. The account her fathers...

a) how many seats are in the last row? b)how many seats are in the entire theater?