Square Sequences

Square Sequences

Basic, GCSE(F),

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:

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:

Term1 2 3 4 5 ...
1222324252...
Value1 4 9 16 25 ...

Examples

1. What is the next square number after 81?

Answer: 100

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

2. What is the value of the 12th square number?

Answer: 144

12 x 12 = 144.