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Geometric Sequence
Definition of Geometric Sequence
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Geometric sequence is a sequence in which each term after the first term a is obtained by multiplying the previous term by a constant r, called the common ratio. It is obvious that
 and  or 1.
1, 2, 4, 8, 16, 32, . . . is a geometric sequence.
Each term of this geometric sequence is multiplied by the common ratio 2.
More about Geometric Sequence
For the geometric sequence 1, 2, 4, 8, 16, 32, 1 + 2 + 4 + 8 + 16 + 32 is the corresponding geometric series.
Solved Example on Geometric Sequence
Find the 5th term of the geometric sequence 
Choices:
A. 9
B. 3
C. 81
D. 27
Correct Answer: D
Solution:
Step 1: In a geometric sequence, the nth term is given by
 .
Step 2: To find the fifth term, substitute n = 5 in the formula.
Step 3: The 5th term is  . [Substitute and simplify.]
Related Terms for Geometric Sequence
- Sequence
- Term
- Common Ratio
- Geometric Series
- Constant
Additional Links for Geometric Sequence
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