Geometric Sequences and Series

Authored by Monika Davis

Mathematics

9th - 12th Grade

CCSS covered

Used 292+ times

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10 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the common ratio of the geometric sequence:
$2,\ \frac{1}{2},\ \frac{1}{8},\ \frac{1}{32},\ ...$

$\frac{1}{3}$

$\frac{1}{12}$

$\frac{1}{16}$

$\frac{1}{4}$

Tags

CCSS.HSF.BF.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Evaluate the geometric series described below.
$a_1=-1,\ r\ =\ 4,\ n\ =\ 8$

-585

585

-21,845

21,845

Tags

CCSS.HSA.SSE.B.4

MULTIPLE CHOICE QUESTION

15 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

30 sec • 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

Find the sum of the infinite geometric series:
200 - 100 + 50 - 25 + ...

525 / 2

400 / 3

3 / 400

2 / 525

Tags

CCSS.HSF.BF.A.2

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Is the sequence -432, 72, -12, 2,...geometric?

yes

Tags

CCSS.HSF.BF.A.2

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What are the next 3 terms in the following geometric sequence:
512, 256, 128, _, _, ___, ...

1024, 2048, 4096

32, 8, 2

64, 32, 16

92, 66, 38

Tags

CCSS.HSF.BF.A.2

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Geometric Sequences and Series

Find the common ratio of the geometric sequence:
$2,\ \frac{1}{2},\ \frac{1}{8},\ \frac{1}{32},\ ...$

Evaluate the geometric series described below.
$a_1=-1,\ r\ =\ 4,\ n\ =\ 8$

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

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

Find the sum of the infinite geometric series:
200 - 100 + 50 - 25 + ...

Is the sequence -432, 72, -12, 2,...geometric?

What are the next 3 terms in the following geometric sequence:
512, 256, 128, _, _, ___, ...

Write the explicit formula for the geometric sequence.

Find the first four terms of the sequence given the rule:
a_n = 4(5)^n-1

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

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Popular Resources on Wayground

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Geometric Sequences and Series

Find the common ratio of the geometric sequence: 2, 12, 18, 132, ...2,\ \frac{1}{2},\ \frac{1}{8},\ \frac{1}{32},\ ...2, 21​, 81​, 321​, ...

Evaluate the geometric series described below. a1=−1, r = 4, n = 8a_1=-1,\ r\ =\ 4,\ n\ =\ 8a1​=−1, r = 4, n = 8

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

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

Find the sum of the infinite geometric series:200 - 100 + 50 - 25 + ...

Is the sequence -432, 72, -12, 2,...geometric?

What are the next 3 terms in the following geometric sequence:512, 256, 128, ___, ___, ___, ...

Write the explicit formula for the geometric sequence.

Find the first four terms of the sequence given the rule:an = 4(5)n-1

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

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 common ratio of the geometric sequence:
$2,\ \frac{1}{2},\ \frac{1}{8},\ \frac{1}{32},\ ...$

Evaluate the geometric series described below.
$a_1=-1,\ r\ =\ 4,\ n\ =\ 8$

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

Find the sum of the infinite geometric series:
200 - 100 + 50 - 25 + ...

What are the next 3 terms in the following geometric sequence:
512, 256, 128, _, _, ___, ...

Find the first four terms of the sequence given the rule:
a_n = 4(5)^n-1

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