The Facts On File Algebra Handbook

(Marvins-Underground-K-12) #1

Geometric Sequence and Common Ratio CHARTS & TABLES


Geometric Sequence and Common Ratio CHARTS & TABLES


Geometric Sequence and Common Ratio
A geometric sequence is a set of numbers or terms that has a pattern running through
it, and that pattern has a common ratio. When one number or term in a geometric
sequence is divided into the number or term that immediately follows it, the result is
always the same, and that result is called the common ratio. Here are some geometric
sequences, and their common ratios:

Geometric Sequence Common Ratio
2, 4, 8, 16, 32, ______ 2
4 ÷2 = 2
8 ÷ 4 = 2
16 ÷ 8 = 2
32 ÷ 16 = 2
3, 9, 27, 81, 243, ______ 3
9 ÷ 3 = 3
27 ÷ 9 = 3
81 ÷ 27 = 3
243 ÷ 81 = 3
1, 4, 16, 64, 256,______ 4
4 ÷ 1 = 4
16 ÷ 4 = 4
64 ÷ 16 = 4
256 ÷ 64 = 4
5, 25, 125, 625, 3125,______ 5
25 ÷ 5 = 5
125 ÷ 25 = 5
625 ÷ 125 = 5
3125 ÷ 625 = 5
2, 12, 72, 432, 2592,______ 6
12 ÷ 2 = 6
72 ÷ 12 = 6
432 ÷ 72 = 6
2592 ÷ 432 = 6
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