Home
Class 11
MATHS
1/1.2+1/2.3+1/3.4+…………….+1/(n(n+1))=n/(n...

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

Promotional Banner

Topper's Solved these Questions

  • ANNUAL EXAMINATION QUESTION PAPER - 2017 (NORTH) (WITH ANSWERS)

    SUBHASH PUBLICATION|Exercise Part - E (V.Answer any One question:)|4 Videos
  • ANNUAL EXAMINATION QUESTION PAPER - 2017 (NORTH) (WITH ANSWERS)

    SUBHASH PUBLICATION|Exercise Part - C (III Answer any Ten questions :)|16 Videos
  • ANNUAL EXAMINATION QUESTION PAPER - 1

    SUBHASH PUBLICATION|Exercise SECTION - E|4 Videos
  • ANNUAL EXAMINATION QUESTION PAPER - 2017 (SOUTH) (WITH ANSWERS)

    SUBHASH PUBLICATION|Exercise Part - E (Answer any One question:)|4 Videos

Similar Questions

Explore conceptually related problems

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

1/1.4+1/4.7+1/7.10+...+1/((3n-2)(3n+1))=n/((3n+1)) forall n in N.

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

1+2+3+............+n=(n(n+1))/2 forall n in N.

lim_(n rarr oo) ((1)/(1.2) + (1)/(2.3) + (1)/(3.4) +…..+ (1)/(n(n+1))) is :

(1+3/1)(1+5/4)(1+7/9)...(1+((2n+1))/n^(2))=(n+1)^(2) forall n in N.

For all n ge 1 prove that (1)/(1.2)+ (1)/(2.3)+(1)/(3.4)+.....+(1)/(n(n+1))=(n)/(n+1)

1^(3)+2^(3)+3^(3)+………….+n^(3)=(n^(2)(n+1)^(2))/4 forall n in N.

1*2*3+2*3*4+...+n(n+1)(n+2)=(n(n+1)(n+2)(n+3))/4 forall n in N.

1^(2)+2^(2)+3^(2)+............+n^(2)=(n(n+1)(2n+1))/6 forall n in N.