SOLUTION: Write the explicit formula that represents the geometric sequence -2, 8, -32, 128

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Question 1068107: Write the explicit formula that represents the geometric sequence -2, 8, -32, 128

Found 2 solutions by Edwin McCravy, Fombitz:
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!








The terms of the sequence are the odd powers of 2
with alternating signs.

The general term for the sequence of exponents 1, 3, 5, 7, ...
is 

The general term for the sequence of multipliers 1, -1, 1, -1, 1, ...
which causes alternating signs is 

So the general formula is



Edwin



Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Look at each successive term compared to the previous term,



So,





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