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If the coefficient of 2nd, 3rd and 4th terms in the expansion of `(1+x)^(2n)` are in A.P. , show that `2n^2-9n+7=0.`

A

1.3

B

0.2

C

4

D

-1

Text Solution

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The correct Answer is:
b
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OBJECTIVE RD SHARMA ENGLISH-BINOMIAL THEOREM AND ITS APPLCIATIONS -Exercise
  1. If (1 + x + x^2)^n = (C0 + C1x + C2 x^2 + ............) then the value...

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  2. If the coefficients of 2nd, 3rd and the 4th terms in the expansion of ...

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  3. If the coefficient of 2nd, 3rd and 4th terms in the expansion of (1...

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  4. If the 6th term in the expansion of(1/(x^(8/3))+x^2(log)(10)x)^8 is 56...

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  5. Find the term in(3sqrt(((a)/(sqrt(b))) + (sqrt((b)/ ^3sqrt(a))))^(21) ...

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  6. If the coefficients of 2nd, 3rd and 4th terms in the expansion of (1+...

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  7. Find the coefficient of x^4 in the expansion of (1+x+x^2+x^3)^(11)dot

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  8. If (1 + x - 2 x^(2))^(6) = 1 + C(1) x + C(2) x^(2) + C(3) x^(3) + …+ C...

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  9. If the coefficient of the middle of term in the expansion of (1+x)^(2n...

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  10. If a1,a2, a3, a4 be the coefficient of four consecutive terms in the e...

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  11. The coefficient of x^r[0lt=rlt=(n-1)] in the expansion of (x+3)^(n-1)+...

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  12. If (1-x+x^2)^n=a0+a1x+a2x^2+ .........+a(2n)x^(2n),\ find the value o...

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  13. The coefficient of x^m in (1+x)^m +(1+m)^(m+1) +...+(1+x)^n ,m≤n is

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  14. the coefficient of x^(7) in (ax - b^(-1) x^(-2))^(11) is

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  15. Find the coefficient of x^5 in the expansion of (1+x^2)^5(1+x)^4.

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  16. Find the greatest term in the expansion of sqrt(3)(1+1/(sqrt(3)))^(20)...

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  17. If T0,T1, T2, ,Tn represent the terms in the expansion of (x+a)^n , t...

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  18. about to only mathematics

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  19. If the coefficients of three consecutive terms in the expansion of (1+...

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  20. The second, third and fourth terms in the binomial expansion (x+a)^na...

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