raymundo2 raymundo2

15-06-2017
Mathematics

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What is the sum of the first 10 terms in the geometric sequence -3 6 -12 24 -48

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steve77 steve77

15-06-2017

Use the formula for the sum of a geometric sequence:
Sum = (a(r^n - 1))/(r - 1)
where a is the first term, -3
r is the common ratio, -2
and n is the number of terms

Thus,
Sum = ((-3)((-2)^10 - 1))/(-2-1) = 1023

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