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The first three terms in the expansion o...

The first three terms in the expansion of `(1+a x)^n(n!=0)` are `1,6xa n d16 x^2dot` Then find the value of `aa n dndot`

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CENGAGE ENGLISH-BINOMIAL THEOREM-All Questions
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  2. If the middle term in the expansion of (x^2+1//x)^n is 924 x^6 , then...

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  3. The first three terms in the expansion of (1+a x)^n(n!=0) are 1,6xa n ...

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  4. If x^4 occurs in the rth term in the expansion of (x^4+1/(x^3))^(15), ...

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  5. Find the coefficient of x^(-10) in the expansion of (a/x+b x)^(12) .

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  6. Find the constant term in the expansion of (x-1//x)^6dot

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  7. If the coefficients of (r-5)t h a n d(2r-1)t h terms in the expansion ...

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  8. In ( 2^(1/3)+1/3^(1/ 3))^n if the ratio of 7th term from the beginnin...

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  9. If the coefficient of 4th term in the expansion of (a+b)^n is 56, then...

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  10. If p a n d q are positive, then prove that the coefficients of x^pa n ...

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  11. Find the number of irrational terms in the expansion of (5^(1//6)+2^(1...

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  12. If x^p occurs in the expansion of (x^2+1//x)^(2n) , prove that its coe...

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  13. Find the coefficient of a^3b^4c^5 in the expansion of (b c+c a+a b)^6d...

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  14. Find the coefficient of x^7 in the expansion of (1 - x -x^2 + x^3)^(6)...

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  15. If the number of terms in the expansion of (x+y+z)^n are 36, then find...

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  16. Find the coefficient of a^3b^4c in the expansion of (1+a+b-c)^9dot

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

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  18. Find the number of terms which are free from radical signs in the e...

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

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  20. Find the coefficient of x^(13) in the expansion of (1-x)^5xx(1+x+x^2+x...

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