SOLUTION: The second and fifth terms of a geometric progressions are 16 and 2 respectively. Determine the common ratio and the first term

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Question 1155543: The second and fifth terms of a geometric progressions are 16 and 2 respectively. Determine the common ratio and the first term
Answer by math_helper(2461)   (Show Source): You can put this solution on YOUR website!

The general form is a, ak, ak^2, ak^3, ... etc.
Where a=first term (often used with subscripts )
k=common ratio
Given info:


Notice that
so
Common ratio:
The first term can be found by dividing k*a by k: 16/(1/2) = 32
First term:

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