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What is the next triangular number after 36 ?

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answer is D.

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Detailed Solution

Triangular numbers are numbers that are obtained by adding consecutive numbers.

The first triangular number is 1.

To get the list of triangular numbers, we have to keep on adding consecutive numbers. So, the triangular numbers are:

3=1+2

6=1+2+3

10=1+2+3+4

15=1+2+3+4+5

21=1+2+3+4+5+6

28=1+2+3+4+5+6+7

36=1+2+3+4+5+6+7+8

45=1+2+3+4+5+6+7+8+9

55=1+2+3+4+5+6+7+8+9+10

Therefore, the triangular number after 36 is 45.

Hence, Option D is the correct answer.

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