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.
Answer
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}}.
Answer
\Large{{341} \over {128}}
Problem 3: Find the sum of the first eight (8) terms of the geometric sequence.
- 1,2, - 4,…
Answer
85
Problem 4: Find the sum of the first six (6) terms of the geometric sequence.
18,6,2,…
Answer
\Large{{728} \over {27}}
Problem 5: Find the sum of the first seven (7) terms of the geometric series
2 + 8 + 32 + …
Answer
10,922
Problem 6: Find the sum of the first six (6) terms of the geometric series.
- 6 + 4 - {8 \over 3} + …
Answer
- {{266} \over {81}}
Problem 7: Find the sum of the geometric series below.
1 + 4 + 16 + … + 1024
Answer
1,365
Problem 8: Find the sum of the geometric series below.
- 3 + 6 - 12 + … - 768
Answer
-513
Problem 9: Evaluate the given geometric series.
{\sum\limits_{n = 1}^6 {2\left( {{1 \over 2}} \right)} ^{n - 1}}
Answer
\Large{{63} \over {16}}
Problem 10: Evaluate the given geometric series.
{\sum\limits_{n = 1}^7 {64\left( { - {1 \over 4}} \right)} ^{n - 1}}
Answer
\Large{{3,277} \over {64}}