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If the coefficients of x^(9),x^(10),x^(1...

If the coefficients of `x^(9),x^(10),x^(11)` in expansion of `(1+x)^(n)` are in A.P., the prove that `n^(2)-41n+398=0`.

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AAKASH SERIES-BINOMIAL THEOREM-EXERCISE - 1.1 (Level - 1)
  1. Find the numerically greatest term of (2x-3y)^(12), x=1, y=(5)/(3)

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  2. Find the numerically greatest term of (5x-6y)^(14), x=(2)/(5), y=(1)...

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  3. If the coefficients of x^(9),x^(10),x^(11) in expansion of (1+x)^(n) a...

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  4. If the 2^("nd"),3^("rd")" and "4^("th") terms in the expansion of (a+x...

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  5. If (1+x+2x^(2)+4x^(3))^(10)=a(0)+a(1)x+a(2)x^(2)+….+a(30)x^(30). Fi...

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  6. If (1+x+2x^(2)+4x^(3))^(10)=a(0)+a(1)x+a(2)x^(2)+….+a(30)x^(30). Fi...

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  7. If (1+x+2x^(2)+4x^(3))^(10)=a(0)+a(1)x+a(2)x^(2)+….+a(30)x^(30). Fi...

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  8. If (1+x+2x^(2)+4x^(3))^(10)=a(0)+a(1)x+a(2)x^(2)+….+a(30)x^(30). Fi...

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  9. If (1+x+x^(2))^(n)=b(0)+b(1)x+b(2)x^(2)+….+b(2n)x^(2n) then prove that...

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  10. If (1+x+x^(2))^(n)=b(0)+b(1)x+b(2)x^(2)+….+b(2n)x^(2n) then prove that...

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  11. If (1+x+x^(2))^(n)=b(0)+b(1)x+b(2)x^(2)+….+b(2n)x^(2n) then prove that...

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  12. If (1+x+x^(2))^(n)=b(0)+b(1)x+b(2)x^(2)+….+b(2n)x^(2n) then prove that...

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  13. If (1+x+x^(2))^(n)=b(0)+b(1)x+b(2)x^(2)+….+b(2n)x^(2n) then prove that...

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  14. If (1+x+x^(2))^(n)=b(0)+b(1)x+b(2)x^(2)+….+b(2n)x^(2n) then prove that...

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  15. If (1+x+x^(2))^(n)=b(0)+b(1)x+b(2)x^(2)+….+b(2n)x^(2n) then prove that...

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  16. Prove that AA n in N 3^(3n)-26n-1 is divisible by 676.

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  17. Prove that AA n in N 6^(n)-5n leaves remainder 1 when divided by 25...

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  18. Prove that AA n in N 9^(n+1)-8n-9 is divisible by 64

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  19. Prove that AA n in N 5^(4n)+52n-1 is divisible by 676.

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

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