To prove by induction that 8+5+2...+(11-3n) = (1/2)(19n-3n^2) is true for all positive integers n, we assume 8+5+2...+(11-3k) = (1/2)(19k-3k^2)...
To prove by induction that 8+5+2...+(11-3n) = (1/2)(19n-3n^2) is true for all positive integers n, we assume 8+5+2...+(11-3k) = (1/2)(19k-3k^2) is true for some positive integer k, and show that 8+5+2...+(11-3k) + (11-3(k+1)) = A where A is
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