SOLUTION: Write a formula for the arithmetic sequence by using the general formula and then simplify. 52, 45, 38, 31 …

Algebra ->  Sequences-and-series -> SOLUTION: Write a formula for the arithmetic sequence by using the general formula and then simplify. 52, 45, 38, 31 …      Log On


   



Question 864096: Write a formula for the arithmetic sequence by using the general formula and then simplify.
52, 45, 38, 31 …

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
a%5Bn%5D=a%5B1%5D%2B%28n-1%29%2Ad
a%5Bn%5D=+52+%2B%28n-1%29%2A%28-7%29+=+59+-+7n

Arithmetic Sequence:
a%5Bn%5D=a%5B1%5D%2B%28n-1%29%2Ad
S%5Bn%5D=%28n%28a%5B1%5D%2Ba%5Bn%5D%29%29%2F2}
S%5Bn%5D=+%28n%2F2%29%282%2Aa%5B1%5D%2B+%28n-1%29d%29