Mathematics
emma321
3

Find the sum of a 10-term geometric sequence when the first term is 3 and the last term is 59,049 and select the correct answer below. 177,147 88,572 88,575 177,144

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(1) Answers
longhornlova12

First, we need to solve for the common ratio from the data given by using the equation. a(n) = a(1) r^(n-1) 59049 = 3 r^(10-1) 19683 = r^9 r = 3 Then, we can find the sum by the expression: S(n) = a(1) ( r^n -1) / 1-r S(10) = 3 (3^10  -1  ) / 3-1 S(10) =88572

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