Question

Which pattern does this sequence follow: 1, 4, 9, 16, 25…?

• A. Square number pattern
• B. Pentagonal number pattern
• C. Hexagonal number pattern
• D. Triangle number pattern

Answer 1

The correct option is A Square number pattern

1,4,9,16,25,36…….

The square number sequence is a pattern of numbers which follows the following rule.

The number in nth position = $n\times n$

In the above pattern:

The number in 1st position = $1\times 1$ = 1

The number in 2nd position = $2\times 2$ = 4

The number in 3rd position = $3\times 3$ = 9

The number in 4th position = $4\times 4$ = 16

The number in 5th position = $5\times 5$ = 25

So, the above sequence is a square number pattern.