Home
Class 12
MATHS
Find the sum to n terms of the series ,(...

Find the sum to n terms of the series ,`(1)/(1.2)+(1)/(2.3)+(1)/(3.4)+....` ?

A

`(1)/(n(n+1))`

B

`(n)/(n+1)`

C

`(2n)/(n+1)`

D

`(2)/(n(n+1))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the sum to n terms of the series (1)/(1xx2) +(1)/(2xx3)+(1)/(3xx4) + . . . . . .

Sum to n terms of the series (1)/(2 . 5) +(1)/(5 . 8)+(1)/(8 . 11)+..=

Find the sum to n terms of the series (1)/(1*3*5*7*9)+(1)/(3*5*7*9*11)+(1)/(5*7*9*11*13)+"......" . Also, find the sum to infinty terms.

Sum to n terms of the series 1+3+7+13+.. .=

Find the sum of n terms of the series 1. 2. 3+2. 3. 4+3. 4. 5+

The sum of n terms of the series : (1)/( 1.2.3.4) + ( 1)/( 2.3.4.5) + ( 1) / ( 3.4.5.6.)+"......." is :

Find the sum of n terms of the series 1+4/5+7/(5^2)+10/(5^3)+dot

Find the sum to 'n' terms of the series 1^(2)+3^(2)+5^(2)+.....+

If S denotes the sum to infinity and S_(n) , the sum of n terms of the series 1+( 1)/(2) +( 1)/( 4) + ( 1)/( 8 ) +"………….", such that S-S_(n) lt ( 1)/( 1000) , then the least value of n is :