Friday, 30 August 2013

Math induction (n2leqn!) help please

I'm having trouble with a math induction problem. I've been doing other proofs (summations of the integers etc) but I just can't seem to get my head around this.





Q. Prove using induction that n2n!




So, assume that P(k) is true: k2k!



Prove that P(k+1) is true: (k+1)2(k+1)!



I know that (k+1)!=(k+1)k! so: (k+1)2(k+1)k! but where can I go from here?




Any help would be much appreciated.

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