Question

The sum of two consecutive numbers in a triangular number sequence is always a ______.

• A. Prime
• B. Perfect square
• C. Perfect cube
• D. Negative

Answer 1

The correct option is B Perfect square

The triangular number sequence is
The sum of any two consecutive numbers in this series ,:
1 + 3 = 4, a perfect square
3 + 6 = 9, a perfect square
6 + 10 = 16, a perfect square and so on.
Hence, the sum of two consecutive numbers in a triangular number sequence is always a perfect square.