Topper's Solved these Questions
Similar Questions
Explore conceptually related problems
CENGAGE PUBLICATION-BINOMIAL THEOREM-All Questions
- Show that sqrt3 =1+1/3+(1/3).(3/6)+(1/3).(3/6).(5/9)+.......
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)^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 ^nC0 "^(2n)Cn-^nC1 ^(2n-2)Cn +^nC2 ^(2n-4)Cn =2^n
Text Solution
|
- Prove that ^n C0 .^n C0-^(n+1)C1 . ^n C1+^(n+2)C2 . ^n C2-=(-1)^ndot
Text Solution
|
- The sum of the coefficients of all the integral powers of x in the exp...
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 underset(p=1)overset(n)sum(underset(m=p)overset(n)su...
Text Solution
|
- Show that the middle term in the expansion of (x+1)^(2n) is (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 1,6x and...
Text Solution
|