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Mathematics

8th - 12th Grade

Used 2+ times

Geometric Series Calculus Practice
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9 questions

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1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the sum of the infinite geometric series, if it exists. ∑n=1∞8(15)n−1\sum_{n=1}^{\infty}8\left(\frac{1}{5}\right)^{n-1}  

8

8/5

10

Does not exist

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the sum of the infinite geometric series, if it exists. 12−53+509−50027+...\frac{1}{2}-\frac{5}{3}+\frac{50}{9}-\frac{500}{27}+...  

205

19.5

108.75

Does Not Exist

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

∑k=1∞(45)k−1\sum_{k=1}^{\infty}\left(\frac{4}{5}\right)^{k-1}  Find the sum of the series if it exists.

4/5

5

6.5

Does not exist

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

Evaluate the infinite series described: 

-16
-18
3
-15

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

Evaluate the infinite series described: 

20/3
No Sum
21/5
4/3

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

Evaluate the infinite series described: 

No Sum
32/3
2/3
34/3

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

Evaluate the infinite series described: 

No Sum
1
6
3

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