Finding Sums of Geometric Series

Authored by Barbara White

Mathematics

8th - 12th Grade

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9 questions

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

8/5

Does not exist

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

205

19.5

108.75

Does Not Exist

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

4/5

6.5

Does not exist

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Evaluate the infinite series described:

-16

-18

-15

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Evaluate the infinite series described:

20/3

No Sum

21/5

4/3

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Evaluate the infinite series described:

No Sum

32/3

2/3

34/3

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Evaluate the infinite series described:

No Sum

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Finding Sums of Geometric Series

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

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

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

Evaluate the infinite series described:

Evaluate the infinite series described:

Evaluate the infinite series described:

Evaluate the infinite series described:

Consider a geometric sequence with a first term of 4 and a fourth term of -2.916. Find the sum to infinity.

The first term of an infinite geometric sequence is 4. The sum of the infinite sequence is 200. Find the common ratio.

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Finding Sums of Geometric Series

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}n=1∑∞​8(51​)n−1

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}+...21​−35​+950​−27500​+...

∑k=1∞(45)k−1\sum_{k=1}^{\infty}\left(\frac{4}{5}\right)^{k-1}k=1∑∞​(54​)k−1 Find the sum of the series if it exists.

Evaluate the infinite series described:

Evaluate the infinite series described:

Evaluate the infinite series described:

Evaluate the infinite series described:

Consider a geometric sequence with a first term of 4 and a fourth term of -2.916. Find the sum to infinity.

The first term of an infinite geometric sequence is 4. The sum of the infinite sequence is 200. Find the common ratio.

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

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

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

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