Question

Which of the following numbers is not a triangular number?

3
6
10
9

Answer 1

Answer:

10

Step-by-step explanation:

because 10 cannot make a triangle .

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Answer 2

Answer:

The correct answer is Option (b) 9.

Step-by-step explanation:

A triangular number is one that may be represented by a dot pattern with the same number of dots on each side of an equilateral triangle. The initial triangular number is 1, followed by triangular numbers 3, 6, 10, 15, and so on. a three-sided number  $T_{n}$ is a fictitious number that may be represented as an equilateral triangular grid of elements with each row having one more element than the one before it.

A number that may be expressed as the sum of the first n positive integers is referred to as a triangular number. For instance, since it can be expressed as 1 + 2 + 3, the number 6 is a triangular number. The first three positive numbers, 1 + 2 + 3, are added together.

Therefore,

$T_{2} = 3$ so, 3 is a triangular number.

$T_{3} = 6$ is a triangular number.

$T_{4} = 10$ , so 10 is also triangular number.

The number which is not triangular number = 9.

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