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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 \(1+2+3+\ldots+n\).)

 Jan 10, 2020
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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 \(\dbinom{51}{2} = 1275\)

 

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 Jan 10, 2020

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