Question

Find the sum of the first 10 terms of the following sequence. Round to the nearesthundredth if necessary.15, 5,53'Sum of a finite geometric series:ai – ajrSn1 - rAnswer:Submit Answerattempt 1 out of 2

Answer 1

Given Data,

`\begin{gathered} a_1=15 \\ r=(1)/(3) \end{gathered}`

The sum of first 10 terms can be determined as,

`\begin{gathered} S_(10)=(a_1(1-r^(10)))/(1-r) \\ =(15(1-((1)/(3))^(10)))/(1-(1)/(3)) \\ =(15(3^(10)-1)*3)/(2*3^(10)) \\ =22.4996 \\ \approx22.50 \end{gathered}`

Thus, the required sum is 22.50.