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If 0 lt x lt 1, the first negative term ...

If `0 lt x lt 1`, the first negative term in the expansion of `(1+x)^(27//5)` is

A

5th term

B

8th term

C

6th term

D

7th term

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Verified by Experts

The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-BINOMIAL THEOREM-EXERCISE 1C (BINOMIAL THEOREM WITH RATIONAL INDEX)
  1. Find the coefficient of x^(10) in the expansion of (1+2x)/((1-2x)^(2))...

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  2. The coefficient of x^n in ((1+x)^n)/(1-x) where n in N is

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  3. If 0 lt x lt 1, the first negative term in the expansion of (1+x)^(27/...

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  4. If x is so small that x^2 and higher powers of x may be neglected then...

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  5. If x is numerically so small so that x^2 and higher powers of x can be...

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  6. If x is so small that x^2 and higher powers of x may be neglected then...

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  7. If |x| is so small that x^2 and higher powers of x may be neglected, t...

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  8. If x is small so that x^2 and higher powers can be neglected, then the...

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  9. The coefficients of x^3 in ((1-4x)^2 (1-2x^2)^(1//2))/((4-x)^(3//2)) i...

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  10. If x is so small, higher powers of x may be neglected then sqrt(x^2 + ...

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  11. If x is so small, higher powers of x may be neglected then root(3)(x^2...

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  12. If a is small in comparison with x, then ((x)/(x+a))^(1//2) + ((x)/(x-...

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  13. If a is small in comparison with x, then ((x)/(x+a))^(1//3) - ((x)/(x-...

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  14. If sqrt([(x)/(x-1)])=a0 + (a1)/( x-1) + (a2)/((x-1)^2)+…..... where x...

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  15. If (a+bx)^(-3) = (1)/(27) + (1)/(3) x + ….. then the ordered pair (a, ...

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  16. If p and q are the coefficients of x^n in (1+x)^(2n) and (1-4x)^(-1//2...

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  17. (8.8)^(1//3) =

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  18. root(3)(1003)-root(3)(997)=

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  19. 1+(1)/(4) + (1.3)/(4.8) + (1.3.5)/(4.8.12)+…...=

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  20. 1+(2)/(4) + (2.5)/(4.8)+(2.5.8)/(4.8.12)+(2.5.8.11)/(4.8.12.16)+…..=

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