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By the principle of mathematical inducti...

By the principle of mathematical induction prove that for all natural number 'n' the following statement are true :
`(a) 2+4+6+........ +2n =n (n+1)`
`(b) 1+4+7+.......+(3n-2) =1/2 n (3n-1)`
`(C) 1^(3)+2^(3)+3^(3) +..........+n^(3)=1/4 n^(2)(n+1)^(2)`
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