Prove using the principle of mathematical induction that: 1/2! +2/3! + 3/4! + ...+n/(n+1)! = 1 - 1/(n+1)! for n=1,2,3... 2(1!)+5(2!)+10(3!)+....+ (n^2+1)(n!) = n(n+1)! for n=1,2,3... Thank you!
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Originally Posted by christina Prove using the principle of mathematical induction that: 1/2! +2/3! + 3/4! + ...+n/(n+1)! = 1 - 1/(n+1)! for n=1,2,3... 2(1!)+5(2!)+10(3!)+....+ (n^2+1)(n!) = n(n+1)! for n=1,2,3... Thank you! 1 ? If this is true, then we attempt to use this to prove Proof Now test an initial term 2 ? If this is true, then we try to use this to prove if Proof Now test for an initial term
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