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If in the expansion (1+x)^(n) the 5^(th...

If in the expansion `(1+x)^(n)` the `5^(th )` term is 4 times the ` 4^(th)` term and the `4^(th)` term is 6 times the ` 3^(rd)' term, then n=

A

9

B

10

C

11

D

15

Text Solution

Verified by Experts

The correct Answer is:
C
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HIMALAYA PUBLICATION-BINOMIAL THEOREM-QUESTION BANK
  1. In the expansion of (1+x)^(11) , the 5^(th ) term is 24 times the 3...

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  2. If (T(2))/(T(3)) is the expansion of (a+b)^(n) and (T(3))/(T(4)) in ...

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  3. If in the expansion (1+x)^(n) the 5^(th ) term is 4 times the 4^(th)...

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  4. Ratio of 3^(rd) and 4^(th) terms of (x+(2)/(3 x^(2)))^(7) is

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  5. If T, denotes the r^(th) term in the expansion of (x+(1)/(y))^(23)...

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  6. In the expansion of (1+x)^(10) the coefficient of (2 r+1)^(th) term...

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  7. If the coefficient of x^(7) in [ax^(2)+((1)/(bx))]^(11) equals the coe...

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  8. If 21^(st) and 22^(nd ) terms in the expansion of (1-x)^(44) are ...

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  9. If the coefficients of 5^(t h), 6^(th) and 7^(th) terms of (1+x)...

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  10. If the coefficients of second, third and fourth terms in the expansion...

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  11. The sum of the coefficients in the expansion of (1-x)^(10) is

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  12. If the sum of the coefficients in the expansion of (x+y)^(n) is 4096...

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  13. The sum of the coefficients in the expansion of (6 x-5 y)^(n) where n...

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  14. The sum of the coefficients in the expansion of (a x^(2)-2 x+1)^(35) i...

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  15. If (1+2 x+x^(2))^(n)=sum(r=0)^(2 n) a(r) x^(r), then a(r) =

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  16. If (1+x-2 x^(2))^(6)=1+a(1) x+a(z) x^(2)+l .. .+a(12) x^(12) then a(2...

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  17. If C(n) is the coefficient of x^(n) in the expansion of (1+x)^(n) ...

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  18. If (1+x)^(n)=C(0)+C(1)x+C(2)x^(2)+ . . .+C(n)x^(n), then the value of ...

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  19. The largest term in the expansion of (3+2x)^(50) where x=1/5 is:

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  20. The numerically greatest term of (2 x-3 y)^(12) when x=1 and y=(5...

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