Identify Arithmetic and Geometric Sequence

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

• 36, -108, 324

• -324, -972, -2916

• 324, -972, 2916

• -108, 324, -972

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

Find the common ratio: 4, -16, 64, -256, ...

• r = -4

• r = 2

• r = -2

• r = 4

Tags

CCSS.HSF.BF.A.2

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

• 20, 100, 500, 2500

• 5, 20, 80, 320

• 4, 20, 100, 500

• 4, 9, 14, 19

Tags

CCSS.HSF.BF.A.2

What is a₅ in the sequence defined as follows?
a_n = 5 ⋅ 2^(n-1) 

• a₅ = 160

• a₅ = 40

• a₅ = 10

• a₅ = 80

Tags

CCSS.HSF.BF.A.2

What is the next term in the geometric sequence 0.75, 3, 12, 48, ... ?

• 96

• 144

• 192

• 240

Tags

CCSS.HSF.BF.A.2

In a geometric sequence, the 4th term is -12 and the 5th term is -24. Find the common ratio.

• 2

• -2

Tags

CCSS.HSF.BF.A.2

Find the next three terms of the sequence 31104, 5184, 864, ___, ___, ___.

• 104, 44, 24

• 124, 44, 14

• 144, 24, 4

• 164, 54, 34

Tags

CCSS.HSF.BF.A.2

A sequence where each term after the first is obtained by multiplying the preceding term by a nonzero constant called the common ratio (r).

• Arithmetic Sequence

• Geometric Sequence

• Harmonic Sequence

• Fibonacci Sequence

Tags

CCSS.HSF.BF.A.2

In the geometric sequence

2, 6, 18, n, 162, ..., what is the value of n?

• 54

• 90

• 24

• 36

Tags

CCSS.HSF.BF.A.2