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The sum of a geometric sequence is a(1-rn)/(1-r)

In this case, a = 8, r = -2 and n=15

So the sum is 8(1-(-2)15)/(1+2)

=8(1+32768)/3

=87,384

So the sum of the first 15 terms of the sequence 8, -16, 32, -64.... is 87,384.

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