Question

Which pattern does this sequence follow: 1, 3, 6, 10, 15, 21, 28…?

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

Answer 1

The correct option is D Triangle number pattern

1, 3, 6, 10, 15, 21, 28…

The triangle number sequence is a pattern of numbers which follows the following rule. The number in nth position = n (n + 1) /2

For example:

The number in 3rd position = $3^{\ast }4$ /2 = 12/2 =6

The number in 5th position = $5^{\ast }6$ /2 = 30/2 =15