Find the sum sumsum(0lt=i < jlt=n-1)j^n ...

Find the sum `sumsum_(0lt=i < jlt=n-1)j^n C_idot`

Text Solution

AI Generated Solution

Topper's Solved these Questions

COMPLEX NUMBERS AND QUADRATIC EQUATIONS
CENGAGE ENGLISH|Exercise All Questions|886 Videos

Similar Questions

Explore conceptually related problems

Find the sum sumsum_(0leiltjlen)"^nC_i

Find the sum sumsum_(0leiltjlen) "^nC_i "^nC_j

Find the sum (sumsum)_(0leiltjlen) ""^(n)C_(i) .

Find the sum sumsum_(i!=j)^n ^nC_i^n C_j

Find the value of sumsum_(0leilejlt=n)(i+j)(nC_i+n C_j)dot

Find the value of sumsum_(0leiltjlen) (""^(n)C_(i)+""^(n)C_(j)) .

Find the value of sumsum_(0leilejlt=n)c_i^n"" c_j^ndot

Find the sumsum_(0leiltjlen)1 .

If (1+x)^n=C_0+C_1x+C_2x^2+……..+C_nx^n then the value of sumsum_(0lt=iltjlt=n)C_iC_j is (A) 2^(2n-1)- .^(2n)C_(n/2) (B) .^(2n)C_n (C) 2^n (D) none of these

Find the value of (sumsum)_(0leiltjlen) (1+j)(""^(n)C_(i)+""^(n)C_(j)) .

CENGAGE ENGLISH-BINOMIAL THEOREM-All Questions

Show that sqrt3 =1+1/3+(1/3).(3/6)+(1/3)*((3/6)*(5/9)*(7/12)+.......
Text Solution
|
Assuming x to be so small that x^2 and higher power of x can be neg...
Text Solution
|
Find the sum sumsum(0lt=i < jlt=n-1)j^n Cidot
Text Solution
|
Find the condition for which the formula (a+b)^m = a^m+m a^(m-1)b+(m(...
Text Solution
|
Find the value of x , for which 1/(sqrt(5+4x)) can be expanded as infi...
Text Solution
|
Find the fourth term in the expansion of (1-2x)^(3//2)""dot
Text Solution
|
Prove that .^n C0 . ^(2n) Cn- ^n C1 . ^(2n-2)Cn+^n C2 . ^(2n-4)Cn-=2...
Text Solution
|
Prove that ^n C0 .^n C0-^(n+1)C1 . ^n C1+^(n+2)C2 . ^n C2-=(-1)^ndot
Text Solution
|
Find the sum of the coefficients of all the integral powers of x in th...
Text Solution
|
If the sum of the coefficient in the expansion of (alpha^2x^2-2alphax+...
Text Solution
|
Prove that sum(alpha+beta+gamma = 10) (10 !)/(alpha!beta!gamma!)=3^(10...
Text Solution
|
If (1+x-2x^2)^(20)=a0+a1x+a2x^2+a3x^3+...+a(40)x^(40), then find the v...
Text Solution
|
Find the sum of the series .^15 C0+^(15)C1+^(15)C2+...............+^(1...
Text Solution
|
Find the sum sum(k=0)^(10).^(20)Ck.
Text Solution
|
Find the sum of all the coefficients in the binomial expansion of (x^2...
Text Solution
|
If the sum of coefficient of first half terms in the expansion of (x+y...
Text Solution
|
Find the value of sum(p=1)^n(sum(m=p)^n.^nCm.^m Cp)dot And hence, find...
Text Solution
|
Show that the middle term in the expansion of (1+x)^(2n)i s((1. 3. 5 (...
Text Solution
|
If the middle term in the expansion of (x^2+1//x)^n is 924 x^6 , then...
Text Solution
|
The first three terms in the expansion of (1+a x)^n(n!=0) are 1,6xa n ...
Text Solution
|