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Find the 13^(t h)term in the expansion ...

Find the `13^(t h)`term in the expansion of `(9x-1/(3sqrt(x)))^(18),x!=0`

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The correct Answer is:
N/a
`T_(13)=T_(12+1)`
`=^(18)C_(12)(9x)^(18-12)(-(1)/(3sqrt(x)))^(12)`
`(|ul18)/(|ul12|ul6).(9^(6).x^(6))/(3^(12).x^(6))`
`(13xx14xx15xx16xx17xx18)/(18)`
`=18564.`
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NAGEEN PRAKASHAN ENGLISH-BINOMIAL THEOREM-Miscellaneous Exericse
  1. Find the 13^(t h)term in the expansion of (9x-1/(3sqrt(x)))^(18),x!=0

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  3. If the coefficients of x^2a n d\ x^3 in the expansion o (3+a x)^9 are ...

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  4. Find the coefficient of a^4 in the product (1+a)^4(2-a)^5 using binomi...

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  5. If a and b are distinct integers, prove that a - b is a factor of a^n-...

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  6. Evaluate (sqrt(3)+sqrt(2))^6-(sqrt(3)-sqrt(2))^6dot

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  7. Find the value of (a^2+sqrt(a^2-1))^4+(a^2-sqrt(a^2-1))^4.

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  8. Find an approximation of (0. 99)^5 using the first three terms of its ...

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  9. Find n, if the ratio of the fifth term from the beginning to the fi...

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  10. Using binomial theorem expand (1+x/2-2/x)^4,\ x!=0.

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  11. Find the expansion of (3x^2-2a x+3a^2)^3 using binomial theorem.

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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. If the coefficients of x^2a n d\ x^3 in the expansion o (3+a x)^9 are ...

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  14. Find the coefficient of x^5 in the expansion of (1 + 2x)^6 (1-x)^7.

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  15. If a and b are distinct integers, prove that a - b is a factor of a^n-...

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  16. Evaluate (sqrt(3)+sqrt(2))^6-(sqrt(3)-sqrt(2))^6dot

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  17. Find the value of (a^2+sqrt(a^2-1))^4+(a^2-sqrt(a^2-1))^4.

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  18. Find an approximation of (0. 99)^5using the first three terms of its ...

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  19. Find n, if the ratio of the fifth term from the beginning to the fi...

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  20. Expand using Binomial Theorem (1+x/2-2/x)^4,x!=0.

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  21. Find the expansion of (3x^2-2a x+3a^2)^3 using binomial theorem.

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