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Question

# When we combine two consecutive triangular numbers, we get a __________.

A
Perfect square number
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B
Consecutive number
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C
Non square number
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D
None of these
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Solution

## The correct option is B Perfect square numberTriangular numbers are obtained by continued summation of natural numbers 1,2,3,4,5,6,7,..... ∴ Set of triangular numbers is 1,3,6,10,15,21,28.....When we add two triangular numbers we get a perfect square numberFor example, 1+3=4=22, 3+6=9=32, 6+10=16=42 and so on.Hence, option A is correct.

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