Topper's Solved these Questions
Similar Questions
Explore conceptually related problems
CENGAGE PUBLICATION-BINOMIAL THEOREM-All Questions
- If (1+x)^(15)=C0+C1x+C2x^2++C(15)x^(15), then find the sum of C1+2C3+3...
Text Solution
|
- Prove that (.^n C0)/1+(.^n C2)/3+(.^n C4)/5+(.^n C6)/7+ . . . =(2^n)/(...
Text Solution
|
- Find the sum sumsum(0lt=i<jlt=n-1)^n Cidot
Text Solution
|
- Show that the integer next above (sqrt(3)+1)^(2m) contains 2^(m+1), as...
Text Solution
|
- Prove that (1^2)/3""^n C1+(1^2+2^2)/5""^n C2+(1^1+2^2+3^2)/7""^n C3+.....
Text Solution
|
- Prove that (1)/(n+1)=(.^(n)C(1))/(2)-(2(.^(n)C(2)))/(3)+(3(.^(n)C(3)...
Text Solution
|
- Find the sum 2..^(10)C(0) + (2^(2))/(2).^(10)C(1) + (2^(3))/(3).^(1...
Text Solution
|
- If in the expansion of (2x+5)^(10) , the numerically greatest term in ...
Text Solution
|
- Find the value of (1)/(81^(n))-(10)/(81^(n)).^(2n)C(1) + (10^(2))/(8...
Text Solution
|
- Find the value of 5C3 + 4C2
Text Solution
|
- Find the sum .^1C0+^2C1+^3C2+....+^(n+1)Cn ,where Cr=^n Crdot
Text Solution
|
- If (1+x+x^(2) + "……" + x^(n))^(n) = a(0) + a(1)x+a(2)x^(2) + "….." a(n...
Text Solution
|
- If n gt 2, then prove that C(1)(a-1) - C(2) xx (a-2) + "….." + (-1)^(...
Text Solution
|
- Find the sum C0-C2+C4-C6+ ......... ,where Cr=^n Cr .
Text Solution
|
- If x+y=1, prove that sum(r=0)^n .^nCr x^r y^(n-r) = 1.
Text Solution
|
- Find the sum 3 C1 + 5C2
Text Solution
|
- Prove that (.^(n)C(1))/(2) + (.^(n)C(3))/(4) + (.^(n)C(5))/(6) + "…." ...
Text Solution
|
- If (1+x)^n=sum(r=0)^n^n Cr , show that C0+(C1)/2++(Cn)/(n+1)=(2^(n+1...
Text Solution
|
- If underset(r=0)overset(2n)suma(r) (x-2)^(r) = underset(r=0)overset(2n...
Text Solution
|
- 3^(2n+2)-8n-9 is divisible by
Text Solution
|