SOLUTION: Find the sum of the first n terms of each geometric sequence. S sub 6 ; 1 + 4 + 16 + 64 + ...

Question 979194: Find the sum of the first n terms of each geometric sequence.
S sub 6 ; 1 + 4 + 16 + 64 + ...
Answer by ikleyn(52818) (Show Source): You can put this solution on YOUR website!

The first term of this geometric progression = 1, and the ratio is q = 4.

The formula for the sum of first n terms of a geometric progression is

=

(see everythere, for example, in the lesson Geometric progressions in this site).
Substitute here , and n=6, and you will get

= = = = = 21*65 = 1365 .

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