Geometric Sequences Compound Problems

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

• 96

• 144

• 192

• 240

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

• 2

• -2

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

• 104, 44, 24

• 124, 44, 14

• 144, 24, 4

• 164, 54, 34

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

In the geometric sequence

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

• 54

• 90

• 24

• 36

Which of the following is a geometric sequence?

• 1, 4, 7, 10, ...

• 1, 2, 6, 24, ...

• 1, 1, 2, 3, ...

• 1, 3, 9, 27, ...

which sequence has a common ratio of -2?

• 4, 8, 16, 32

• 4, -8, 16, -32

• 32, 16, 8, 4

• -32, 16, -8, 4

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

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

• Yes, it is a geometric sequence.

• No, it is not a geometric sequence.

Determine whether the sequence is arithmetic, geometric, or neither.

• arithmetic

• geometric

• neither