SOLUTION: Continue the possible pattern. Is the pattern arithmetic, geometric, or neither. Find the 100th term. 1,16,81,256,625.... I believe this is neither arithmetic or geometric.

Algebra ->  Sequences-and-series -> SOLUTION: Continue the possible pattern. Is the pattern arithmetic, geometric, or neither. Find the 100th term. 1,16,81,256,625.... I believe this is neither arithmetic or geometric.       Log On


   

Question 481975: Continue the possible pattern. Is the pattern arithmetic, geometric, or neither. Find the 100th term.
1,16,81,256,625....
I believe this is neither arithmetic or geometric.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
You are correct. This is the list of perfect 4th powers. Basically, the sequence follows the formula a%5Bn%5D=n%5E4 where 'n' is a positive integer.


100th term: a%5B100%5D=100%5E4=100,000,000 (note: there are 8 zeros and this number is one hundred million)