1) Show that m^r , r>=2 can be represented as sum of m consecutive odd integers for any m

2)given sequence a(n).Find sum till N terms if

n*a(n+1) = (n+1)*a(n)*(1+nx)

3)if k is odd prove

1+2^k+3^k.............+n^k

is divisible by n(n+1)/2 for any n

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