Problem 7. Find the sum of the first n triangular numbers (Hint: Show first that each triangular number can be n²+n represented as Tn 2 = = 1/10 2 n² + n). (
Problem 7. Find the sum of the first n triangular numbers (Hint: Show first that each triangular number can be n²+n represented as Tn 2 = = 1/10 2 n² + n). (
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:**Problem 7:** Find the sum of the first \( n \) triangular numbers. (Hint: Show first that each triangular number can be represented as \( T_n = \frac{n^2 + n}{2} = \frac{1}{2}(n^2 + n) \).
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