Mathematics

Mathematics

Problem

50. Triangular Numbers Revisited Exercise 41 in Section 9.2 introduced triangular numbers as numbers that count objects arranged in triangular arrays: ![](https://storage.googleapis.com/diraq-contents/question-bank/question-images/5aeef18df46d/2025_11_21_06f47f80dcc7ace5e53bg-9.jpg) In that exercise, you gave a geometric argument that the nnth triangular number was n(n+1)/2n(n+1) / 2. Prove that formula algebraically using the Sum of a Finite Arithmetic Sequence Theorem.

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