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Find the coefficient of x^(-7)" in "((...

Find the coefficient of
`x^(-7)" in "((2x^(2))/(3)-(5)/(4x^(5)))^(7)`

Text Solution

Verified by Experts

The correct Answer is:
`=(-4375)/(324)`
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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-BINOMIAL THEOREM-TETUAL EXERCISES (EXERCISE - 6(a)) II.
  1. Find the coefficient of x^(11)" in "(2x^(2)+(3)/(x^(3)))^(13)

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  2. Find the coefficient of x^(2)" in "(7x^(3)-(2)/(x^(2)))^(9)

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  3. Find the coefficient of x^(-7)" in "((2x^(2))/(3)-(5)/(4x^(5)))^(7)

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  4. Find the term independent of x in the expansion of ((sqrt(x))/(3)-(4...

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  5. Find the term independent of x in the expansion of ((3)/(root(3)(x))...

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  6. Find the term independent of x in the expansion of (4x^(3)+(7)/(x^(2...

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  7. Find the term independent of x in the expansion of ((2x^(2))/(5)+(15...

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  8. Find the middle term (s) in the expansion of ((3x)/(7)-2y)^(10)

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  9. Find the middle term (s) in the expansion of (4a+(3)/(2)b)^(11)

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  10. Find the middle term (s) in the expansion of (4x^(2)+5x^(3))^(17)

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  11. Find the middle term (s) in the expansion of ((3)/(a^(3))+5a^(4))^(...

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  12. Find the numerically greatest term (s) in the expansion of (4+3x)^(1...

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  13. Find the numerically greatest term (s) in the expansion of (3x+5y)^(...

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  14. Find the numerically greatest term (s) in the expansion of (4a-6b)^(...

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  15. Find the numerically greatest term (s) in the expansion of (3+7x)^(n...

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  16. Prove that following i) 2.C(0)+5.C(1)+8.C(2)+…..+(3n+2)C(n)=(3n+4).2...

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  17. Prove that following C(0)-4.C(1)+7.C(2)-10.C(3)+……=0, if n is an eve...

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  18. Prove that following (C(1))/(2)+(C(3))/(4)+(C(5))/(6)+(C(7))/(8)+……=...

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  19. Prove that following C(0)+(3)/(2).C(1)+(9)/(3).C(2)+(27)/(4).C(3)+……...

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  20. Prove that following C(0)+2.C(1)+4.C(2)+8.C(3)+…+2^(n).C(n)=3^(n)

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