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if the coefficients of x,x^2 and x^3 in ...

if the coefficients of `x,x^2 and x^3` in the binomial expansion `(1+x)^(2n)` are in arithmetic progression then prove that `2n^2-9n+7=0`

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The correct Answer is:
n = 8
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MODERN PUBLICATION-BINOMIAL THEOREM-EXERCISE 8 (B)(LONG ANSWER TYPE QUESTION-I)
  1. In the expansion of (1+a)^(34) , if the cofficient of (r-5)^(th) and (...

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  2. Which term is independent of 'x' in the expansion of (2x^2 + 1/x)^12 ...

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  3. Write and simplify the term independent of 'x' in the expansion of (x^...

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  4. Find the term independent of x in the expansion of: (x-1/x)^(12) .

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  5. Find the term independent of x in the expression (x-1/x)^(14)

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  6. Find the term independent of x in the expansion of (3/2x^2-1/(3x))^6.

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  7. Find the term independent of 'x' , x ne 0 in the expansion of (x^2 ...

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  8. Find the term independent of 'x' , x ne 0 in the expansion of (3 - (...

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  9. Write and simplify the coefficient of the term independent of 'x' in t...

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  10. Find the greatest term in (x+y)^n , when x=11 , y=4, n=30

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  11. If x=1//3, find the greatest tem in the expansion of (1+4x)^8dot

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  12. Find a, b and n in the expansion of (a+b)^nif the first three terms ...

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  13. The first three terms in the Binomial expansion of (x+y)^n are 1,56 an...

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  14. The coefficients of three consecutive terms in the expansion of (1+a)...

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  15. The coefficient of 5th, 6th and 7th terms in the expansion of (1+x)^n ...

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  16. if the coefficients of x,x^2 and x^3 in the binomial expansion (1+x)^(...

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  17. If the three consecutive in the expansion of (1+x)^n are 28, 56, and 7...

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  18. In the expansion of (x+a)^n if the sum of odd terms is P and the sum o...

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  19. Show that 9^(n+1)-8n-9 is divisible by 64, where n is a positive integ...

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  20. Using binomial theorem, prove that 6^n-5n always leaves he remainder 1...

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