Geometric Sequence

The rule for finding a_n of a geometric sequence is

a_n = 10(2)^n-1 _{What is the common ratio(r) of the sequence?}

• ²

• ¹⁰

• ²⁰

• 2ⁿ

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

• 324, 972, 2916

• 972, 2916, 8748

• 405, 1215, 3645

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

• 36, -108, 324

• -324, -972, -2916

• 324, -972, 2916

• -108, 324, -972

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

• 2

• 1/2

• -14

• -7

What is the sum of the first ten terms of the sequence 4, -12, 36, -144 . . . ?

• 59,050

• -59,048

• -78,732

• 118,096

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

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

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