" 6."(1)/(2)+(1)/(4)+(1)/(8)+...+(1)/(2^(n))=(1-(1)/(2^(n)))

For all ninNN , prove by principle of mathematical induction that, (1)/(2)+(1)/(4)+(1)/(8)+ . . .+(1)/(2^(n))=1-(1)/(2^(n)) .

Prove the following by the principle of mathematical induction: (1)/(2)+(1)/(4)+(1)/(8)++(1)/(2^(n))=1-(1)/(2^(n))

(1)/(2)+(1)/(4)+(1)/(8)+(1)/(16)+......+(1)/(2^(n))=1-(1)/(2^(n))

Prove that by using the principle of mathematical induction for all n in N : (1)/(2.5)+ (1)/(5.8) + (1)/(8.11)+ ...+(1)/((3n-1)(3n+2))= (n)/(6n+4)

Prove that by using the principle of mathematical induction for all n in N : (1)/(2.5)+ (1)/(5.8) + (1)/(8.11)+ ...+(1)/((3n-1)(3n+2))= (n)/(6n+4)

Find the sum of n terms of the series (1)/(2*4)+(1)/(4*6)+... (A) (n)/(n+1) (B) (n)/(4(n+1)) (C) (1)/((2n)(2n+2))( D) )(1)/(2^(n)(2^(n)+2))

Prove the following by using the principle of mathematical induction for all n in Nvdots(1)/(2.5)+(1)/(5.8)+(1)/(8.11)+...+(1)/((3n-1)(3n+2))=(n)/((6n+4))=(n)/((6n+4))

By using the principle of mathematical induction , prove the follwing : P(n) : 1/2 + 1/4 + 1/8 + ……..+ (1)/(2^n) = 1 - (1)/(2^n) , n in N

(1)/(1.2)+(1)/(2.3)+(1)/(3.4)+.......+(1)/(n(n+1))=(n)/(n+1),n in N is true for

prove that (1-(1)/(2^(2)))(1-(1)/(3^(2)))(1-(1)/(4^(2)))(1-(1)/(n^(2)))=(n+1)/(2n) for all natural numbers,n>=1(1-(1)/(n^(2)))=(n+1)/(2n)