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In the binomial expansion of (1+x)^(15),...

In the binomial expansion of `(1+x)^(15)`, the coefficients of `x^(r )` and `x^(r+3)` are equal. Then r is

A

6

B

4

C

7

D

8

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The correct Answer is:
A
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HIMALAYA PUBLICATION-BINOMIAL THEOREM-QUESTION BANK
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  2. The sum of the last eight coefficients in the expansion of (1+x)^(15)...

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  3. If C(0), C(1), C(2), C(3),.., C(n) are the binomial coefficients in t...

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  4. Greatest term in the expansion of sqrt(3)(1+(1)/(sqrt(3)))^(20) is

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  5. The term independent of x in expansion of ((x+1)/(x^(2//3)-x^(1//3)+1)...

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  6. The coefficient of x^(4) in ((x)/(2)-(3)/(x^(2)))^(10) is

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  7. The greatest coefficient in the expansion of (1+x)^(2n) is

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  8. If the coefficients of r^(th) and (r+1)^(th) terms in the expansion o...

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  9. The coefficient of x^(5) in the expansion of (1+x^(2))^(5).(1+x)^(4)...

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  10. The coefficient of x^(-10)in(x^(2)-(1)/(x^(3)))^(10) is

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  11. The approximate value of (1.0002)^(3000) is

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  12. If (1+x+x^(2))^(n) = sum(r=0)^(2 n) a(r). x^(r) then a(1)-2 a(2)+3 a...

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  13. The coefficient of x^(5) in the expansion of (x^(2)-x-2)^(5) is

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  14. The total number of terms in the expansion of (x+y)^(100)+(x-y)^(100) ...

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  15. In the binomial expansion of (1+x)^(15), the coefficients of x^(r ) an...

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  16. If (n) is an odd positive integer and (1+x+x^(2)+x^(3))^(n) = sum(r...

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  17. If r^(th) (r+1)^(th) terms in the expansion of (p+q)^(n) are equal ,th...

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  18. If x^(r) occurs in the expansion of (x+(1)/(x))^(n), then is coefficie...

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  19. If n C(1)+2. n C(2)+..n. n C(n) = 2 n^(2), then n =

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  20. If (1 +x + x^(2))^(n) = a(0) + a(1) x + a(2) x^(2) + … + a(2n) x^(2n) ...

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