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What is the sum of the geometric sequence 1, 4, 16, ... if there are 8 terms? (6 points)

User Dursun
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2 Answers

3 votes
that pero son is correct, it is, 21,845
User Emerita
by
8.2k points
3 votes

Answer:

21,845

Explanation:

The sum of geometric sequence:

S n = a 1 * ( q^n - 1 ) / ( q - 1 )

where: a 1 = 1,

q = a 2 : a 1 = 4 : 1 = 4

S 8 = 1 * ( 4^(8) - 1 ) / ( 4 - 1 ) =

= ( 65,536 - 1 ) / ( 4 - 1 ) = 65,535 / 3 = 21,845

User Ferdinando Randisi
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8.6k points

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