Mathematica Anyone want to check my mathematical induction proof? its a long one

AI Thread Summary
The discussion focuses on evaluating a specific sum for values of n from 1 to 5, with participants confirming the accuracy of the initial calculations. A conjecture regarding a general formula for the sum is proposed, and the importance of mathematical induction is highlighted for proving this conjecture. Participants share scanned images of their work, seeking feedback on clarity and expression. The conversation emphasizes collaboration and the need for clear presentation in mathematical proofs.
mr_coffee
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Directions: Evalute the sum, for n = 1, 2, 3, 4, and 5. Make a conjecture about a formula for this sume for general n, and prove your conjecture by mathematical induction.

StatusX helped me get the first part, so I know that is right, about making the conjecture.http://suprfile.com/src/1/3j13ycr/lastscan.jpg
http://suprfile.com/src/1/3j14smr/lastscan2.jpg Thanks I hope everyone can read it, i tried putting somthing behind the paper while scanning and still no luck.
 
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looks ok to me... just clean up your expression in the last step
 
thanks stunner!
 

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