Geometric Sequence and Series

Is the sequence 2, 4, 12, 48,... geometric?

• yes
• no

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

Find the next three terms: 3, -18, 108, -648

• -6480, -3880, -233280
• 6480, -38880, 233280
• 5184, -31104, 186624
• 3888, -23328, 139968

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

What is the explicit rule for the sequence:
11, 22, 44, 88...

• _gn = 2(11)^n-1
• _gn = 11x2
• _gn = 11(2)^n-1
• g_n = 11+(2)^n-1

Tags

CCSS.HSF.BF.A.2

The n^th term of a geometric sequence is given by ...

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Tags

CCSS.HSA.SSE.B.4

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

The sum of an infinite Geometric series is given by:

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• 

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

An infinite series exists for which of the following situations?

• An arithmetic series
• A geometric series
• A geometric series with | r | > 1
• A geometric series with | r | < 1

Tags

CCSS.HSF.BF.A.2

The sum of an finite Geometric series is given by:

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• 
• 

Tags

CCSS.HSA.SSE.B.4

Find the common ratio: 16, 8, 4, 2, ...

• r = 2
• r = 8
• r = 1/4
• r = 1/2

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

List the first five terms of the geometric sequence. Assume that the sequence begins at n = 1.

• 1 , 3 , 6 , 9 , 12

• 3 , 9 , 27 , 81 , 243

• 0 , 1 , 3 , 9 , 27

• 1 , 3 , 9 , 27 , 81

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

What would be the missing terms of the series

-1 ,- 5, - 25 , ... ,- 78125

• 125 , 625 , - 3125 , 15625

• 125 , - 625 , - 15625

• -125 , - 625 , - 3125 , - 15625

• 625 , - 3125 , - 15625