Home
Class 12
MATHS
The sum of the first n terms of the seri...

The sum of the first n terms of the series `(1)/(2)+(3)/(4)+(7)/(8)+(15)/(16)+....` is equal to

A

`2^(n)-n-1`

B

`n-1+2^(-n)`

C

`n+26(-n)-1`

D

`26(n)-1`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

The sum of the series 1+(1)/(4)+(1)/(16)+(1)/(64)+....oo is

If the sum of the first ten terms of the series (1 3/5)^2+(2 2/5)^2+(3 1/5)^2+4^2+(4 4/5)^2+. . . . . , is (16)/5 m, then m is equal to:

Find the sum of the first n terms of the series: 3+ 7 +13 +21 +31 +........

The sum of the series 1+ (1)/(4) + (1)/(16) + (1)/(64) + ...........oo is

S_(n) be the sum of n terms of the series (8)/(5)+(16)/(65)+(24)/(325)+"......" The value of lim_(n to oo)S_n is

S_(n) be the sum of n terms of the series (8)/(5)+(16)/(65)+(24)/(325)+"......" The seveth term of the series is

S_(n) be the sum of n terms of the series (8)/(5)+(16)/(65)+(24)/(325)+"......" The value of S_(8) , is

Find sum of first 10 terms of geometric series 3,9, 27,……

Find the sum of the first 22 term of the AP : 8, 3, -2 ......

The sum of first 9 terms of the series (1^(3))/(1)+(1^(3)+2^(3))/(1+3)+(1^(3)+2^(3)+3^(3))/(1+3+5)+"........" is