Question

What is the 30th triangular number? Provide the answer using the formula.

Answer 1

The nth triangular number can be calculated using the formula:

Tn = (n * (n + 1)) / 2

To find the 30th triangular number (T30), substitute n = 30 into the formula:

T30 = (30 * (30 + 1)) / 2

T30 = (30 * 31) / 2

T30 = (930) / 2

Now, calculate the result:

T30 = 465

So, the 30th triangular number is 465.

Explanation:

Answer 2

465

Explanation:

You want the 30th triangular number.

Triangular numbers

The n-th triangular number is given by the formula ...

t(n) = n(n+1)/2

Then the 30th triangular number is

t(30) = 30(31)/2 = 15(31) = 465

The 30th triangular number is 465.

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