SOLUTION: what would be the answer to this? Write a rule for each sequence. 1, -1/3, 1/9, -1/27, .... 30,0-10, 10-3, -10/9, .... 6, 12, 24, 48, ... 50, 25, 12.5, 6.25, ....

Algebra ->  Sequences-and-series -> SOLUTION: what would be the answer to this? Write a rule for each sequence. 1, -1/3, 1/9, -1/27, .... 30,0-10, 10-3, -10/9, .... 6, 12, 24, 48, ... 50, 25, 12.5, 6.25, ....      Log On


   

Question 426687: what would be the answer to this?
Write a rule for each sequence.
1, -1/3, 1/9, -1/27, ....

30,0-10, 10-3, -10/9, ....
6, 12, 24, 48, ...
50, 25, 12.5, 6.25, ....
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Geometric Sequence:  a%5Bn%5D+=+a%5B1%5D%2Ar%5E%28n-1%29



1, -1/3, 1/9, -1/27, ....  r = -1/3   a%5Bn%5D+=+1%2A%28-1%2F3%29%5E%28n-1%29



6, 12, 24, 48, ...    r = 2     a%5Bn%5D+=+6%2A%282%29%5E%28n-1%29



50, 25, 12.5, 6.25, ....   r = (1/2)  a%5Bn%5D+=+50%2A%281%2F2%29%5E%28n-1%29