SOLUTION: List the first five terms of the sequence defined by an = n^2/n! for n ≥ 0.

Algebra ->  Sequences-and-series -> SOLUTION: List the first five terms of the sequence defined by an = n^2/n! for n ≥ 0.      Log On


   

Question 696891: List the first five terms of the sequence defined by an = n^2/n! for n ≥ 0.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

an+=+n%5E2%2Fn%21 for n ≥ 0.
n=0
an+=+0%5E2%2F0%21=0%2F0=0
n=1
an+=+1%5E2%2F1%21=1%2F1=1
n=2
an+=+2%5E2%2F2%21=4%2F%282%2A1%29=4%2F2=2
n=3
an+=+3%5E2%2F3%21=9%2F%283%2A2%2A1%29=9%2F6=3%2F2
n=4
an+=+4%5E2%2F4%21=16%2F%284%2A3%2A2%2A1%29=16%2F24=2%2F3

so, the first five terms of the sequence defined by an+=+n%5E2%2Fn%21 are:
0,1,2,3%2F2,2%2F3