गणितीय आगमन सिद्धांत से सिद्ध कीजिए की
`(1)/(2*5)+(1)/(5*8)+(1)/(8*11)+...+(1)/((3n-1)(3n+2))=(n)/(2(3n+2))`

1/(2*5)+1/(5*8)+1/(8*11)+............1/((3n-1)(3n+2))=n/((6n+4)) forall n in 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)

Prove the following 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 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))

Prove the following by the principle of mathematical induction: (1)/(2.5)+(1)/(5.8)+(1)/(8.11)++(1)/((3n-1)(3n+2))=(n)/(6n+4)

(1)/(2.5)+(1)/(5.8)+(1)/(8.11)+... n terms =(A)(n)/(6n+4) (B) (n)/(3n+2)(C)(n)/(4n+6)(D)(1)/(2(2n+3))

Prove the following 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))

1^2/(1.3)+2^2/(3.5)+3^2/(5.7)+.....+n^2/((2n-1)(2n+1))=((n)(n+1))/((2(2n+1))