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Find the middle term (s) in the expansi...

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

Text Solution

Verified by Experts

The correct Answer is:
`=-""^(10)C_(5)((6)/(7))^(5)x^(5)y^(5)`
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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-BINOMIAL THEOREM-TETUAL EXERCISES (EXERCISE - 6(a)) II.
  1. Find the term independent of x in the expansion of (4x^(3)+(7)/(x^(2...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. Find the sum of the following (""^(15)C(1))/(""^(15)C(0))+2(""^(15)C...

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  17. Find the sum of the following C(0).C(3)+C(1).C(4)+C(2).C(5)+…+C(n-3)...

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  18. Find the sum of the following 2^(2).C(0)+3^(2).C(1)+4^(2).C(2)+…..+(...

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  19. Find the sum of the following 3C(0)+6C(1)+12C(2)+…..+3.2^(n).C(n)

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  20. Using binomial theorem, prove that 50^(n)-49n-1 is divisible by 49^(2)...

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