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Square Sequences

Square Sequences

A #Square Number# is the result of multiplying an integer by itself. For example, 4 x 4 = 16. The first 5 square numbers are shown below in a diagram form:

Square Sequence

A shorthand way of writing a square number is to use an #index#: 4 x 4 = 42.

Square numbers can be written as a sequence:

Term 1 2 3 4 5 ...
12 22 32 42 52 ...
Value 1 4 9 16 25 ...

Example 1

What is the next square number after 81?

81 is 92. The next square number is 102, which is 100.

Answer: 100

Example 2

What is the value of the 12th square number?

12 x 12 = 144.

Answer: 144

See also Squares