benchmarks.wiki / Public workspace

MATH / If the numbers on the third diagonal of Pascal's Triangle are triangular…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

If the numbers on the third diagonal of Pascal's Triangle are triangular numbers, what is the value of the 5050th triangular number? (The nnth triangular number is 1+2+3+…+n1+2+3+\ldots+n.)
Plain-text mathematical notation (without MathML)
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+…+n.)
Original LaTeX notation
If the numbers on the third diagonal of Pascal's Triangle are triangular numbers, what is the value of the $50$th triangular number? (The $n$th triangular number is $1+2+3+\ldots+n$.)

level

Level 2

type

Counting & Probability

Discussion

Discussion

No discussion posts on this page yet. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

Source and history

Official source

initial import