SOLUTION: Find the nth term of each arithmetic sequence described a1=6,d=3,n=12 Please help i need work for this problem i do not understand, then i will be able to solve others. Thank Y

Algebra ->  Sequences-and-series -> SOLUTION: Find the nth term of each arithmetic sequence described a1=6,d=3,n=12 Please help i need work for this problem i do not understand, then i will be able to solve others. Thank Y      Log On


   

Question 723968: Find the nth term of each arithmetic sequence described
a1=6,d=3,n=12
Please help i need work for this problem i do not understand, then i will be able to solve others. Thank You
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

a%5Bn%5D+=+a%5B1%5D%2B%28n-1%29d
a%5B12%5D+=+6%2B%2812-1%293
a%5B12%5D+=+6%2B11%2A3
a%5B12%5D+=39

check:
if n=1
6+=+6%2B%281-1%293
6+=+6%2B%280%293
6+=+6....first term is correct, a%5B1%5D+=6
if n=2
a%5B2%5D+=+6%2B%282-1%293
a%5B2%5D+=+6%2B3
a%5B2%5D=9....... a%5B2%5D+=9
if n=3
a%5B3%5D+=+6%2B%283-1%293
a%5B3%5D+=+6%2B6
a%5B3%5D=12....... a%5B3%5D+=12
if n=4
a%5B4%5D+=+6%2B%284-1%293
a%5B4%5D+=+6%2B9
a%5B4%5D=15....... a%5B4%5D+=15
:
:
:
if n=12
a%5B12%5D+=+6%2B%2812-1%293
a%5B12%5D+=+6%2B33
a%5B12%5D=39....... a%5B12%5D+=39