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Find the middle terms in the expansion o...

Find the middle terms in the expansion of `(3 - (x^3)/( 6) )^7`.

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The correct Answer is:
N/a
In the expansion of `(3-(x^(3))/(6))^(7)`
No. of terms `=7+1=8`(even)
So. Here will be two middle terms .
Middle terms`=(8)/(2)`th term and `((8)/(2)+1)`th term
=4th term and 5th term
`T_(4)=T_(3+1)`
`=^(7)C_(3)(3)^(7-3).(-(x^(3))/(6))^(3)`
`=35 xx 81 xx ((-x^(9)))/(216)=(-105)/(8).x^(9)`
`" and " T_(5)=T_(4+1)`
`=^(7)C_(4)(3)^(7-4).((-x^(3))/(6))^(4)`
`=(35xx27xx x^(12))/(1296) =(35x^(12))/(48)`
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NAGEEN PRAKASHAN ENGLISH-BINOMIAL THEOREM-Exericse 8.2
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  2. Find 13th term in the expansion of (9x-1/(3x))^(18),\ x!=0.

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  3. Find the middle terms in the expansion of (3 - (x^3)/( 6) )^7.

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  4. Find the middle term in the expansion of :\ (x/3+9y)^(10)

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  5. In the binomial expansion of (1+a)^(m+n) , prove that the coefficient ...

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  6. The coefficients of the (r-1)^(th),r^(th) and (r+1)^(th) terms in the ...

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  7. The coefficient of x^(n) in the expansion of (1 + x)^(2n) " and " (1 +...

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  8. Find a positive value of m for which the coefficient of x^(2) in the e...

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  9. Find the coefficient of x^5""in(x+3)^8

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  10. Find the coefficient of a^5b^7in(a-2b)^(12)

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  11. Write the general term in the expansion of (x^2-y)^6dot

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  12. Write the general term in the expansion of (x^2-y x)^(12),x!=0

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  13. Find the 4^(t h)term in the expansion of (x-2y)^(12).

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

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  15. Find the middle term in the expansion of (3-(x^(3))/(6))^(7)

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  16. Find the middle term in the expansion of :\ (x/3+9y)^(10)

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  17. In the expansion of (1+a)^(m+n) ,prove that coefficients of a^(m) and ...

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  18. The coefficients of the (r-1)^(th),r^(th) and (r+1)^(th) terms in the ...

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  19. prove that the coefficient of x^n in the expansion of (1+x)^(2n) is tw...

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  20. Find a positive value of m for which the coefficient of x^2 in the ex...

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