(C(0))/(1)+(C(1))/(2)+(C(2))/(3)+ . . . ...

`(C_(0))/(1)+(C_(1))/(2)+(C_(2))/(3)+ . . . .+(C_(100))/(101)` equals

A

`(2^(101))/(101)`

B

`(2^(101)-1)/(101)`

C

`(3^(101))/(101)`

D

`(3^(101)-1)/(101)`

Text Solution

Verified by Experts

The correct Answer is:

B

Promotional Banner

Promotional Banner

Topper's Solved these Questions

BINOMIAL THEOREM
AAKASH INSTITUTE|Exercise Assignment (section-C) Objective type question (More than one correct answer)|15 Videos
BINOMIAL THEOREM
AAKASH INSTITUTE|Exercise Assignment (section-D) Objective type question (Linked Comprehension Type Questions)|11 Videos
BINOMIAL THEOREM
AAKASH INSTITUTE|Exercise Assignment (section-A)|50 Videos
APPLICATION OF INTEGRALS
AAKASH INSTITUTE|Exercise Assignment Section - I Aakash Challengers Questions|2 Videos
COMPLEX NUMBERS AND QUADRATIC EQUATIONS
AAKASH INSTITUTE|Exercise section-J (Aakash Challengers Qestions)|16 Videos

Similar Questions

Explore conceptually related problems

(C_(0))/(1)+(C_(1))/(2)+(C_(2))/(3)+.......+(C_(10))/(11) is equal to C_(r)-10C_(r))

(C_(0))/(1)+(C_(1))/(2)+(C_(2))/(3)+.........(C_(n))/(n+1)=

If c_(r)=nc_(r) then (C_(1))/(2)-(C_(2))/(3)+(C_(3))/(4)-..........-(C_(100))/(101) is equal

(C_(0))/(1*2)+(C_(1))/(2*3)+(C_(2))/(3*4)+...+(C_(n))/((n+1)(n+2))=

(C_(0))/(1.2)+(C_(1))/(2.3)+(C_(2))/(3.4)+......*(C_(n))/((n+1)(n+2))=

If (C_(0))/(1)+(C_(1))/(2)+(C_(2))/(3)=0, where C_(0)C_(1),C_(2) are all real,the equation C_(2)x^(2)+C_(1)x+C_(0)=0 has

If (1 + x)^(n) = sum_(r=0)^(n) C_(r) x^(r),(1 + (C_(1))/(C_(0))) (1 + (C_(2))/(C_(1)))...(1 + (C_(n))/(C_(n-1))) is equal to

If C_(0), C_(1), C_(2),C_(3),..., C_(n) are the binomial coefficients in the expansion of (C_(0))/(1)+(C_(2))/(3)+(C_(4))/(5)+(C_(6))/(7)+..., is equal to

C_(0)C_(1)+C_(1)C_(2)+C_(2)C_(3)+...+C_(n-1)C_(n)

If (1+x)^(n)=C_(0)+C_(1)x+C_(2)x^(2)+...+C_(n)x^(n) then the value of (C_(0))^(2)+((C_(1))^(2))/(2)+((C_(2))^(2))/(3)+...+((C_(n))^(2))/(n+1) is equal to

AAKASH INSTITUTE-BINOMIAL THEOREM-Assignment (section-B)

If (1-x^(3))^(n)=underset(r=0)overset(n)(sum)a(r)x^(r)(1-x)^(3n-2r), t...
Text Solution
|
Let (1+x^2)^2*(1+x)^n=sum(k=0)^(n+4)ak*x^k If a1, a2 and a3 are iun ...
Text Solution
|
The coefficient of x^1007 in the expansion (1+x)^(2006)+x(1+x)^(2005)+...
Text Solution
|
underset(r=0)overset(n)(sum)(-1)^(r).^(n)C(r)[(1)/(2^(r))+(3^(r))/(2^(...
Text Solution
|
In the expansion of (x +a)^(n) the sum of even terms is E and that ...
Text Solution
|
The sum of the last eight coefficients in the expansion of (1 + x)^16 ...
Text Solution
|
Find the coefficient of x^3y^4z^5 in the expansion of (xy+yz+zx)^6
Text Solution
|
In the expansion of (3x+2y-z)^(8), the coefficients of x^(2)y^(3)z^(3)...
Text Solution
|
If n is ann integer greater than 1, then a-^(n)C(1)(a-1)+.^(n)C(2)(a...
Text Solution
|
(C(0))/(1)+(C(1))/(2)+(C(2))/(3)+ . . . .+(C(100))/(101) equals
Text Solution
|
2C0+2^2/2 C1+2^3/3 C2+.............+2^11/11 C10 =?
Text Solution
|
The coefficient of x^(n) in the polynomial (x+""^(2n+1)C(0))(X+""^(2n+...
Text Solution
|
If C(r) stands for .^(n)C(r)=(n!)/(r!n-r!) and underset(r=1)overset(n)...
Text Solution
|
If k=underset(r=0)overset(n)(sum)(1)/(.^(n)C(r)), then underset(r=0)ov...
Text Solution
|
if x+y=1, then underset(r=0)overset(n)(sum)r^(2).^(n)C(r)x^(r)y^(n-r) ...
Text Solution
|
underset(r=1)overset(n)(sum)r(.^(n)C(r)-.^(n)C(r-1)) is equal to
Text Solution
|
The expression ""^(n)C(r)+4.""^(n)C(r-1)+6.""^(n)C(r-2)+4.""^(n)C(r-...
Text Solution
|
If underset(k=0)overset(n)(sum)(k^(2)+k+1)k! =(2007).2007!, then value...
Text Solution
|
Let R=(5sqrt(5)+11)^(2n+1)a n df=R-[R]w h e r e[] denotes the greatest...
Text Solution
|
Find the coefficient of x^(4) in the expansion of (1+x+x^(2)+x^(3))^(1...
Text Solution
|