" 4."4+8+12+...+4n=2n(n+1)" for all "n in N" ."

Prove by induction that 4+8+12++4n=2n(n+1) for all nN.

Prove by induction that 4+8+12++4n=2n(n+1) for all n Ndot

Using mathimatical induction prove that 1/(2.5)+1/(5.8)+1/(8.11)+......+1/((3n-1)(3n+2))=n/(6n+4) for all n in N .

1.2+2.3+3.4+…………..+n(n+1)=n/3(n+1)(n+2) forall n in N.

1/1.2+1/2.3+1/3.4+…………….+1/(n(n+1))=n/(n+1) forall n in N.

prove that 1+5+9+ . . .+(4n-3)=n(2n-1), for all natural number n.

prove that 1+5+9+ . . .+(4n-3)=n(2n-1), for all natural number n.

Using the principle of mathematical induction, prove that : 1. 2. 3+2. 3. 4++n(n+1)(n+2)=(n(n+1)(n+2)(n+3))/4^ for all n in N .

Using the principle of mathematical induction, prove that : 1. 2. 3+2. 3. 4++n(n+1)(n+2)=(n(n+1)(n+2)(n+3))/4^ for all n in N .

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.