Geometric Sequences

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

Is the sequence 148, 1488, 14888, 148888, ... a geometric sequence?

• Yes, it is a geometric sequence.

• No, it is not a geometric sequence.

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

CCSS.HSF.LE.A.2

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

• 2

• -2

• $\frac{1}{2}$

• $-\frac{1}{2}$

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.1

CCSS.HSF.LE.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

CCSS.HSF.IF.A.3

CCSS.HSF.LE.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

CCSS.HSF.IF.A.3

Which of the following is a geometric sequence?

• 1, 4, 7, 10, ...

• 1, 2, 6, 24, ...

• 1, 1, 2, 3, ...

• 1, 3, 9, 27, ...

Tags

CCSS.HSF.BF.A.2

which sequence has a common ratio of -2?

• 4, 8, 16, 32

• 4, -8, 16, -32

• 32, 16, 8, 4

• -32, 16, -8, 4

Tags

CCSS.HSF.BF.A.2

If the first term of a geometric sequence is 6 and its common ratio is 2, the next three terms are:

• 12, 24, 48

• 8, 10, 12

• 4, 2, 0

• 3, 6, 9

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3