Using the principle of mathematical induction, prove each of the following for all `n in N` `1/(1*4)+1/(4*7) + 1/(7*10) +…+1/((3n-2)(3n+1)) = n/((3n+1))`.

Using the principle of mathematical induction, prove each of the following for all n in N 1+2+3+4+…+N=1/2 N(N+1) .

By using the principle of mathematical induction , prove the follwing : (1)/(1.4) + (1)/(4.7) + (1)/(7.10) + ………..+ (1)/((3n - 2)(3n+1)) = (n)/(3n + 1) , n in N

By the Principle of Mathematical Induction, prove the following for all n in N : 2^(3n)-1 is divisible by 7 .

By the Principle of Mathematical Induction, prove the following for all n in N : 4^(n)-3n-1 is divisible by 9.

By the Principle of Mathematical Induction, prove the following for all n in N : 1+4+7+.....+ (3n-2)= (n(3n-1))/2 .

Using the principle of mathematical induction, prove that (2^(3n)-1) is divisible by 7 for all n in N

Using the principle of mathematical induction, prove that (2^(3n)-1) is divisible by 7 for all n in N

Using the principle of mathematical induction, prove that (2^(3n)-1) is divisible by 7 for all n in N

Using the principle of mathematical induction, prove that (2^(3n)-1) is divisible by 7 for all n in N

By using the Principle of Mathematical Induction, prove the following for all n in N : x+4x+7x+......+(3n-2)x=1/2n (3n-1) x .