Home
Class 12
MATHS
Sum of the following series to n term: 1...

Sum of the following series to `n` term: `1/(1. 4)+1/(4. 7)+1/(7. 10)+ dot`

A

`1//3`

B

`1//5`

C

`2//3`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

Sum the following series to n terms: 1+4+13+40+121+

Sum the following series to n terms: 1/(1. 6)+1/(6. 11)+1/(11. 16)+1/(16. 21)++1/((5n-4)(5n+1))

Sum of the following series to n term: 2+4+7+11+16+.......

Find the sum of the following series to n term: 1. 2. 4+2. 3. 7+3. 4. 10+ .......

Sum of the following series to n term: 1+3+7+13+21+ ............

Sum the following series to n terms and to infinity : (i) (1)/(1.4.7) + (1)/(4.7.10) + (1)/(7.10.13) + ... (ii) sum_(r=1)^(n) r (r + 1) (r + 2) (r + 3) (iii) sum_(r=1)^(n) (1)/(4r^(2) - 1)

Find the sum of the following series : (1)/(4) + (1)/(2) + 1 + … to n terms

Sum of the following series to n term: \ 1+3+6+10+15+.............

Find the sum of the following series to n term: 1. 2. 5+2. 3. 6+3. 4. 7+..........

Find the sum of the following series whose n t h term is: n(n+1)(n+4)dot