If the numbers on the third diagonal of Pascal's Triangle are triangular numbers, what is the value of the 50th triangular number? (The nth triangular number is \(1+2+3+\ldots+n\).)
If the numbers on the third diagonal of Pascal's Triangle are triangular numbers,
what is the value of the 50th triangular number?
(The nth triangular number is \(1+2+3+\ldots+n\).)
The 50th triangular number is \(\dbinom{51}{2} = 1275\)
