SOLUTION: find the next number in the sequence 1 7 33 159 785..........

Algebra ->  Sequences-and-series -> SOLUTION: find the next number in the sequence 1 7 33 159 785..........      Log On


   

Question 637625: find the next number in the sequence 1 7 33 159 785..........
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
The sequence is defined recursively by a_0+=+1 and a_n+=+a_%28n-1%29+%2B+5%5En+%2B+1.
Therefore the next term is
785+%2B+5%5E5+%2B+1+=785+%2B+3125+%2B+1+=+3911.