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I need to prove this by induction and I'm lost on how to even start, help please?
Prove that for all positive integers k and n:
∑ j=1 through n, j(j+1)(j+2) . . . (j+k-1) = n(n+1)(n+2) . . . (n+k) / (k+1)
Prove that for all positive integers k and n:
∑ j=1 through n, j(j+1)(j+2) . . . (j+k-1) = n(n+1)(n+2) . . . (n+k) / (k+1)