Geometric Series and Sequence

For n = 1,2,3 . . .the explicit formula,
 a_n = (-3)ⁿ  + 4, will produce the sequence:

• {1, 13, -23, 85. . .}
• {1, -5, -23, -77. . .}
• {1, -2, -5, -8...}
• {1, 10,-5, 85. . .}

Tags

CCSS.HSF.BF.A.2

Find an explicit rule for the nth term of the sequence.

• a_n= -2(4)^n-1

• a_n= -2(4)ⁿ

• a_n= 2(-4)^n-1

• a_n= 2(4)^n-1

Tags

CCSS.HSF.BF.A.2

The sum of a Geometric series is given by:

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

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Tags

CCSS.HSF.BF.A.2

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

• 2 , 1/2 , 1/8 , 1/32 , 1/128

• 1/2 , 1/8 , 1/32 , 1/128 , 1/256

• 8 , 2 , 1/2 , 1/8 , 1/32

• 2 , 8 , 32 , 128 , 256

Tags

CCSS.HSF.BF.A.2

What is the common ratio for the sequence:
28, 14, 7, 3.5...

• 2
• 1/2
• -14
• -7

Tags

CCSS.HSF.BF.A.2

Write the explicit formula for the geometric sequence.

• a_n = 2(100)^n-1
• a_n = 100(2)^n-1
• a_n = 100(1/2)^n-1
• a_n = (1/2)(100)^n-1

Tags

CCSS.HSF.BF.A.2

Evaluate the geometric series below:

4 - 8 + 16 - 32..., S₇

• 195

• 172

• 202

• 145

Find the sum of the geometric series.

2 + 12 + 72 + 432

• 432

• 518

• 211

• 438

Tags

CCSS.HSA.SSE.B.4

 $a_1=3,\ \ \ r=5,\ \ \ n=7$  Evaluate

•  $58,593$  

•  $52,120$  

•  $41,923$  

•  $54,646$  

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3