Continued from the previous problem. Proposition 17.5 says n 2 D 1C2C C.n1/. Make a
Chapter 17, Problem 17.24(choose chapter or problem)
Continued from the previous problem. Proposition 17.5 says n 2 D 1C2C C.n1/. Make a large copy of Pascals triangle and mark the numbers 7 2 , 6, 5, 4, 3, 2, and 1. You have several choicesdo this right. Whats the pattern? The previous exercise asks you to prove n 3 D 2 2 C 3 2 C 4 2 C C n1 2 . On a large copy of Pascals triangle, mark the numbers 7 3 , 6 2 , 5 2 , 4 2 , 3 2 , and 2 2 . Whats the pattern? Now generalize these formulas and prove your assertion.
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