74.5k views
4 votes
Evaluate the sum of the finite geometric series 1,3,9,27,...;n=8

1 Answer

3 votes

You have the following sequence:

1 , 3 , 9 , 27 , ...

The last sequence can be written as follow:


\sum ^{}_n3^n

For n = 8, you obtain:


\begin{gathered} \sum ^{}_n3^n=3^0+3^1+3^2+3^3+3^4+3^5+3^6+3^7+3^8 \\ \sum ^{}_n3^n=1+3+9+27+81+243+729+2187+6561 \\ \sum ^{}_n3^n=9841 \end{gathered}

Hence, the sum is 9841

User Gaborp
by
7.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories