Geometric Sequences and Series

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

• 2
• 1/2
• -14
• -7

Tags

CCSS.HSF.BF.A.2

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

• a_n = 2(11)^n-1
• a_n = 11x2
• a_n = 11(2)^n-1

Tags

CCSS.HSF.LE.A.2

What is the twelfth term in the sequence 3, -6, 12, . . . ?

• -2,048
• 6,144
• -6,144
• -531,441

Tags

CCSS.HSF.BF.A.2

Is the given sequence geometric?

• Yes

• No

• Cannot be determined

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

Use the formula S_n to find the sum of the first five terms of the geometric sequence.

• 22

• 2/3

• 18

• 21

Tags

CCSS.HSA.SSE.B.4

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

Which of the following represents the SUM of a geometric series with 8 TOTAL terms and whose FIRST TERM is 3 and whose COMMON RATIO is 4?

• 32,756

• 42,560

• 28,765

• 65,535

Tags

CCSS.HSA.SSE.B.4

Evaluate (that is, find the sum) the geometric series below:

4, - 8 , 16, - 32..., n = 7

• 195

• 518

• 516

• 145

Find the next three terms of the geometric sequence: -4, -12, -36, -108, ...

• 36, -108, 324
• -324, -972, -2916
• 324, -972, 2916
• -108, 324, -972

Tags

CCSS.HSF.BF.A.2