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The coefficients of (2 r+4)^(th) and (r-...

The coefficients of `(2 r+4)^(th)` and `(r-2)^(th)` terms in the expansion of `(1+x)^(18)` are equal. Then the value of r=

A

5

B

6

C

7

D

9

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The correct Answer is:
B
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HIMALAYA PUBLICATION-BINOMIAL THEOREM-QUESTION BANK
  1. Numerically the greatest term in the expansion of (3-5 x)^(15) when ...

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

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

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

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

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

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

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

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  10. 6^(n)-5 n when divided by 25 leaves the remainder

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  11. 2^(60) when divided by 7 leaves the remainder

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  12. If the middle term of ((1)/(x)+xsinx)^(10) is equal to 7(7)/(8) then v...

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  13. If A and B are coefficients of x^(n) in the expansion of (1+x)^(2n) an...

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  14. If the coefficients of 2nd, 3rd and 4th terms in the expansion of (1+x...

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  15. The coefficients of x^(n) in the expansion of (1+x)^(2n) and (1+x)^(2n...

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  16. The two successive terms in the expansion of (1+x)^(24) whose coeffici...

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  17. Given the integers rgt1,ngt2 and coefficients of (3r)th and (r+2)nd te...

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  18. The total number of terms in the expansion of (x+a)^(100)+(x-a)^(100) ...

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  19. The ratio of the coefficient of x^(15) to the term independent of x in...

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  20. The number of terms in the expansion of (a+b+c)^(n), where n in N is:

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