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If a1,a2,a3,a4 are the coefficients of 2...

If `a_1,a_2,a_3,a_4` are the coefficients of 2nd, 3rd, 4th and 5th terms of `(1+x)^n` respectively then `(a_1)/(a_1+a_2) , (a_2)/(a_2+a_3),(a_3)/(a_3+a_4)` are in

A

A.P.

B

G.P

C

H.P

D

A.G.P

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The correct Answer is:
A
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AAKASH SERIES-BINOMIAL THEOREM-PRACTICE EXERCISE
  1. If the coefficients of r,(r +1 ),(r+2) terms in (1+x)^14 are in A.P. t...

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  2. If three successive coefficients in (1+x)^n are 6,15,20 then n =

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  3. If a1,a2,a3,a4 are the coefficients of 2nd, 3rd, 4th and 5th terms of ...

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  4. If a,b,c,d are conseentive binomial coefficients of (1+x)^n then (a+b)...

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  5. Coefficient of x^5 in (1+x +x^2 +x^3)^10 is

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  6. The coefficient of x^4 in the expansion of (1+x-2x^2)^7 is

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  7. Binomial coefficients which are in decreasing order are

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  8. Coefficient of x^3 in 1+(1+x) +(1 +x)^2 +…..+(1+x)^n is

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  9. Sum of the coefficients of (1+2x-4x^2)^(2003)

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  10. Sum of coefficients of terms of even powers of x in (1 + x + x^2 + x^...

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  11. Sum of coefficients of terms of odd powers of in (1+x - x^2 -x^3)^8is

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  12. If (1+x -2x^2)^8 =1 -a1x + a2x^2+……+a16x^16, then a2+a4+a6+……+a16 =

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  13. If (1+x-2x^2)^8 = 1 + a1x + a2x^2 + ……+ a16 x^16, then a1 +a3 + a5 + …...

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  14. (1+x)^25 = sum(r = 0)^(25) Cr x^r then C1 - C3 + C5 - C7 + ……-C25 =

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  15. The sum of the coefficients in the expansion of (1+x-3x^2)^(171) is

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  16. If the sum of all the binomial coefficients in (x+y)^n is 512 , then t...

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  17. The coefficient of x^(-n) in (1+x)^n (1+(1)/(x))^n is

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  18. If n is a positive integer then 2^(4n) - 15n - 1 is divisible by

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  19. Smaller of (19^10 + 20^10) and 21^10 is

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  20. 9^11 + 11^9 is divisible by

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