Evaluate the sum n k=1 k (k + 1)! for n = 1, 2, 3, 4, and 5. Make a conjecture about a

Chapter 5, Problem 5

(choose chapter or problem)

Evaluate the sum \(\sum_{k=1}^{n} \frac{k}{(k+1) !}\) for n = 1, 2, 3, 4, and 5. Make a conjecture about a formula for this sum for general n, and prove your conjecture by mathematical induction.

Text Transcription:

sum_k=1^n k / (k+1) !

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