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If r^(th) and (r+1)^(th) term in the e...

If `r^(th)` and `(r+1)^(th)` term in the expansion of ` (1+x)^(n)` are equal, then ` n `=

A

`((1+x) r-x)/(3 x) `

B

`((1+x) r-x)/(4 x) `

C

`((1+x) r-x)/(r) `

D

`((1+x) r-x)/(x) `

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The correct Answer is:
D
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HIMALAYA PUBLICATION-BINOMIAL THEOREM-QUESTION BANK
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  3. If r^(th) and (r+1)^(th) term in the expansion of (1+x)^(n) are equ...

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  4. If the coefficients of r^(th) and (r+1)^(th) term in the expansion o...

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  5. The greatest coefficient in the expansion of (1+x)^(24) is

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  6. If the second term in the expansion ((a)^(1/13)+(a)/(sqrt(a^(-1))))^...

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  7. The sum of last ten coefficients in the expansion of (1+x)^(19) whe...

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  8. (1)/(n !)+(1)/(2 !(n-2) !)+(1)/(4 !(n-4) !)+.... =

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  9. The coefficient of x^(5) in the expansion of (1+x)^(21)+(1+x)^(22)+....

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  10. The coefficient of x^(6) in: [(1+x)^(6)+(1+x)^(7)+ . . .+(1+x)^(15)]...

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  11. Numerically the greatest term in the expansion of (3-5 x)^(15) when ...

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  12. The greatest term in the expansion of (1+x)^(10) when x=(2)/(3) is

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  13. The coefficients of (2 r+4)^(th) and (r-2)^(th) terms in the expansion...

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  14. If the coefficients of r^(th) , (r+1)^(t h) and (r+2)^(th ) terms in...

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  15. The number of terms in the expansion of (2 x+3 y-4 z)^(n) is

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  16. If (1 +x + x^(2))^(n) = a(0) + a(1) x + a(2) x^(2) + … + a(2n) x^(2n) ...

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  17. If (1+x+x^(2))^(n) = a(0)+a(1) x+a(2) x^(2)+.. .+a(2 n) x^(2 n) then ...

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  18. If (1 +x + x^(2))^(n) = a(0) + a(1) x + a(2) x^(2) + … + a(2n) x^(2n) ...

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  19. The value of sum(r=1)^(10)r(n C(r))/(n C(r-1)) =

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  20. 6^(n)-5 n when divided by 25 leaves the remainder

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