Calculus: Geometric Series Practice Problems
Practice Problems
1. Compute the sum:
∞ n
X 1
2
n=0
3
2. Determine whether the series converges or diverges:
∞
X
4(1.2)n
n=0
3. Rewrite the series
3 3 3
−6 + 3 − + − + ...
2 4 8
in sigma notation and determine its sum.
4. Identify a and r for:
∞ n
X 1
5
n=0
4
5. Compute the sum:
∞ n
X 1
10 −
n=0
2
6. Write the repeating decimal
0.3333 . . .
as a geometric series and compute its value.
1
Practice Problems
1. Compute the sum:
∞ n
X 1
2
n=0
3
2. Determine whether the series converges or diverges:
∞
X
4(1.2)n
n=0
3. Rewrite the series
3 3 3
−6 + 3 − + − + ...
2 4 8
in sigma notation and determine its sum.
4. Identify a and r for:
∞ n
X 1
5
n=0
4
5. Compute the sum:
∞ n
X 1
10 −
n=0
2
6. Write the repeating decimal
0.3333 . . .
as a geometric series and compute its value.
1
