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Geometric Series Sigma

Authored by Anthony Clark

Mathematics

11th Grade

CCSS covered

Geometric Series Sigma
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8 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the sum of the first ten terms of the sequence 4, -12, 36, -108 . . . ?

59,050

-59,048

-78,732

118,096

Tags

CCSS.HSA.SSE.B.4

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

The sum of the geometric series

Media Image
Media Image

8880

There is no sum because it never ends.

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What best describes the following infinite geometric series: 1/2 + 3/4 + 9/8 + ...

Diverges

Converges

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the indicated sum for the geometric series.
S6 for (-4/5) + 8 + (-80) + 800 + ....

S6 = 21,845

S6 = 72,000

S6 = 72,727.2

S6 = -128,840.8

Tags

CCSS.HSA.SSE.B.4

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find a12 in the sequence -1, -3, -9, -27, ...

-177,147

-19,683

-59,049

118,098

Tags

CCSS.HSF.BF.A.2

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the sum of the first 10 terms for the following geometric series:
1+1/2+1/4+1/8+1/16+...

0.999

0.002

9.8

1.998

Tags

CCSS.HSA.SSE.B.4

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Estimate the total sum. (Ans 0.5)

0.3333

0.5

infinity

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