Geometric Series Quiz

Authored by Kelly Sparks

Mathematics

9th - 12th Grade

CCSS covered

Used 103+ times

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20 questions

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the sum of the finite geometric series:

88419

78124

91846

92234

Tags

CCSS.HSA.SSE.B.4

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is the sum of the first ten terms of the sequence 4, -12, 36, -144 . . . ?

59,050

-59,048

-78,732

118,096

Tags

CCSS.HSA.SSE.B.4

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Evaluate the geometric series $1-2+4-8,\ ...,\ \ \ \ \ \ \ n=8$

$\frac{1}{3}$

-86

-87

-85

Tags

CCSS.HSA.SSE.B.4

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Evaluate $\sum_{k\ =\ 1}^7\left(-2\right)^{k\ -1\ }$

$\frac{1}{3}$

Tags

CCSS.HSA.SSE.B.4

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$Evaluate\ \ \ \ \ \sum_{i\ =1}^9-3\cdot3^{\ \left(i-1\right)}$

-28,056

-29,523

-31,724

-30,628

Tags

CCSS.HSA.SSE.B.4

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

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

CCSS.HSF.IF.A.3

CCSS.HSA.SSE.A.1

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which of the series below is CONVERGENT?

a₁=4, 1.5a_n-1, n≥2

a_n=-n²- 8n +106

a_n = 5/10ⁿ

a_n = 5n + 6

Tags

CCSS.HSF.LE.A.3

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Geometric Series

Find the sum of the finite geometric series:

What is the sum of the first ten terms of the sequence 4, -12, 36, -144 . . . ?

Evaluate the geometric series $1-2+4-8,\ ...,\ \ \ \ \ \ \ n=8$

Evaluate $\sum_{k\ =\ 1}^7\left(-2\right)^{k\ -1\ }$

$Evaluate\ \ \ \ \ \sum_{i\ =1}^9-3\cdot3^{\ \left(i-1\right)}$

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

Which of the series below is CONVERGENT?

Which of the following is DIVERGENT?

Evaluate (find the sum) of this geometric series.

Is the sequence convergent or divergent?

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Popular Resources on Wayground

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Geometric Series

Find the sum of the finite geometric series:

What is the sum of the first ten terms of the sequence 4, -12, 36, -144 . . . ?

Evaluate the geometric series 1−2+4−8, ..., n=81-2+4-8,\ ...,\ \ \ \ \ \ \ n=81−2+4−8, ..., n=8

Evaluate ∑k = 17(−2)k −1 \sum_{k\ =\ 1}^7\left(-2\right)^{k\ -1\ }k = 1∑7​(−2)k −1

Evaluate ∑i =19−3⋅3 (i−1)Evaluate\ \ \ \ \ \sum_{i\ =1}^9-3\cdot3^{\ \left(i-1\right)}Evaluate i =1∑9​−3⋅3 (i−1)

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

Which of the series below is CONVERGENT?

Which of the following is DIVERGENT?

Evaluate (find the sum) of this geometric series.

Is the sequence convergent or divergent?

Access all questions and much more by creating a free account

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Popular Resources on Wayground

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Evaluate the geometric series $1-2+4-8,\ ...,\ \ \ \ \ \ \ n=8$

Evaluate $\sum_{k\ =\ 1}^7\left(-2\right)^{k\ -1\ }$

$Evaluate\ \ \ \ \ \sum_{i\ =1}^9-3\cdot3^{\ \left(i-1\right)}$

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