SOLUTION: the geometric sequence is 6250,1250,250,...,2 what term is 2?

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Question 1165280: the geometric sequence is 6250,1250,250,...,2 what term is 2?
Answer by ikleyn(52817) About Me  (Show Source):
You can put this solution on YOUR website!
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The common ratio is  1%2F5.


To find the number of terms, use the formula for the n-th term


    2 = 6250%2A%281%2F5%29%5E%28n-1%29.


From the formula,


    5%5E%28n-1%29 = 6250%2F2 = 3125 = 5%5E5.


Hence,  n - 1 = 5;  n = 6.    ANSWER

Solved.