SOLUTION: Problem 47. Consider the geometric sequence P 0 = 2, P1 = 6, P2 = 18,... A. Find that common ratio R B. Use the geometric Sequence sum formula to find the sum P0 + P1 +.

Algebra ->  Formulas -> SOLUTION: Problem 47. Consider the geometric sequence P 0 = 2, P1 = 6, P2 = 18,... A. Find that common ratio R B. Use the geometric Sequence sum formula to find the sum P0 + P1 +.      Log On


   

Question 932512: Problem 47. Consider the geometric sequence P 0 = 2, P1 = 6, P2 = 18,...

A. Find that common ratio R
B. Use the geometric Sequence sum formula to find the sum P0 + P1 +... P20.

Answer by rothauserc(4718) About Me  (Show Source):
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A) R is P1 / P0 = 6/2 = 3
B) the sum(S) of the first 20 terms in the given geometric sequence is
S(20) = a * ( 1 - R^n) / ( 1 - R) where a is P0 and n is 20
S(20) = 2 * ( 1 - 3^20) / ( 1 - 3) = 3,486,784,400