# Geometric Series Practice Problems

Once you have solved the problems on paper, click the ANSWER button to verify that you have answered the questions correctly.

For your convenience, here’s the geometric series formula:

Problem 1: Find the sum of the first nine (9) terms of the geometric series if {a_1} = 1 and r=2.

511

Problem 2: Find the sum of the first ten (10) terms of the geometric series if {a_1} = 4 and r = {\large- {1 \over 2}}.

\Large{{341} \over {128}}

Problem 3: Find the sum of the first eight (8) terms of the geometric sequence.

- 1,2, - 4,…

85

Problem 4: Find the sum of the first six (6) terms of the geometric sequence.

18,6,2,…

\Large{{728} \over {27}}

Problem 5: Find the sum of the first seven (7) terms of the geometric series

2 + 8 + 32 + …

10,922

Problem 6: Find the sum of the first six (6) terms of the geometric series.

- 6 + 4 - {8 \over 3} + …

- {{266} \over {81}}

Problem 7: Find the sum of the geometric series below.

1 + 4 + 16 + … + 1024

1,365

Problem 8: Find the sum of the geometric series below.

- 3 + 6 - 12 + … - 768

-513

Problem 9: Evaluate the given geometric series.

{\sum\limits_{n = 1}^6 {2\left( {{1 \over 2}} \right)} ^{n - 1}}