If A=`[[3,-4] , [1,-1]]` then by the method of mathematical induction prove that `A^n=[[1+2n,-4n] , [n,1-2n]]`

If A={:[(3,-4),(1,-1)]:}, then by principle of mathematics induction show that, A^(n)={:[(1+2n,-4n),(n,1-2n)]:} for all n in N.

By the principle of mathematical induction prove that 1+2+3+4+…n= (n(n+1))/2

If A= ((3,-4),(1,-1)) , then prove by Mathematical Induction that : A^n = ((1+2n,-4n),(n,1-2n)) , where n in N

Let A=[(-1,-4),(1,3)] , by Mathematical Induction prove that : A^(n)[(1-2n,-4n),(n,1+2n)] , where n in N .

By using mathematical induction prove that 1+4+7+...+(3n-2)=(n(3n-1))/2

By using principle of mathematical induction, prove that 2+4+6+….2n=n(n+1), n in N

By using principle of mathematical induction, prove that 2+4+6+….2n=n(n+1), n in N

Prove by the principle of mathematical induction that 4+8+12+….+4n=2n(n+1),AA n in N .

Prove by mathematical induction 4 + 8 + 12 +... 4n = 2n(n + 1).

Prove by method of induction: P(n) = [[3,-4],[1,-1]]^n = [[2n+1, -4n],[n, -2n+1]]