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anonymous
 one year ago
help plz
anonymous
 one year ago
help plz

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.02 is a factor of n^2n+2 means n^2n+2 is divisible by 2 Let P(n)=n^2n+2 P(1)=1^21+2=2 which is divisible by 2 Hence P(1) is true. Assume that P(k) is true or k^2k+2 is divisible by 2 Let k^2k+2=2 m, where m is an integer. k^2=2m+k2 P(k+1)=(k+1)^2(k+1)+2=k^2+2k+1k1+2 =2 m+k2+2k+1k1+2 =2m+2k+2 =2(m+k+1) =2* an integer. or P(k+1) is divisible by 2 Hence by induction P(n) is true for all n
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