(a) Establish the identity tx = ty + tz, wheren(n + 3)x = + 12y=n +l z=n(n + 3)2and n
Chapter 2, Problem 9(choose chapter or problem)
(a) Establish the identity tx = ty + tz, wheren(n + 3)x = + 12y=n +l z=n(n + 3)2and n 2:: 1, thereby proving that there are infinitely many triangular numbers that arethe sum of two other such numbers.(b) Find three examples of triangular numbers that are sums of two other triangularnumbers.
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