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(1+x-2x^2)^6=sum(r=0)^12 ar x^r then a...

`(1+x-2x^2)^6=sum_(r=0)^12 a_r x^r` then `a_2+a_4+..... +a_12=`

A

30

B

31

C

32

D

none of these

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The correct Answer is:
B
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MCGROW HILL PUBLICATION-MATHEMATICAL INDUCTION AND BINOMIAL THEOREM-EXERCISE (LEVEL 1 Single Correct Answer Type Questions)
  1. The coefficient of x^(60) in (1+x)^(51)(1-x+x^(2))^(50) is

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  2. Which is larger : (99^(50)+100^(50)) or (101)^(50).

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  3. (1+x-2x^2)^6=sum(r=0)^12 ar x^r then a2+a4+..... +a12=

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  4. The sum of the coefficients in the expansion of (1 +x-3x^(2))^(4321) i...

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  5. The greatest integer contained in (sqrt3+1)^(6) is

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  6. The number of terms in the expansion of (x^(2)+6x+9)^(30) is

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  7. The expansion of (x + y + z)^(n) is given by

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  8. The number of terms in the expansion of (x + y + x)^(10), is

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  9. Statement-1 The number of terms in the expansion of (x + (1)/(x) +...

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  10. Find the coefficient of x^(7) in the expansion of (ax^(2) + (1)/(bx...

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  11. If x+y= 1, then value of sum(r=0)^(n)(r)(""^(n)C(r))x^(n-r)y^(r) is

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  12. If sum of the coefficients in the expansion of (x+1/x)^(n) is 128, the...

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  13. In the binomial expansion (a-b)^n, nge5 the sum of 5th and 6th terms i...

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  14. 2C0+2^2/2 C1+2^3/3 C2+.............+2^11/11 C10 =?

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  15. C1/C0+2C2/C1+3C3/C2+............+nCn/C(n-1)=(n(n+1))/2

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  16. If (1 + x)^(n) = sum(r=0)^(n) C(r) x^(r),(1 + (C(1))/(C(0))) (1 + (C(...

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  17. lf C(r)=""^(n)C(r), then C(0)-1/3C(1)+1/5C(2)…… upto (n+1) terms equal

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  18. Let (1+x^2)^2*(1+x)^n=sum(k=0)^(n+4)ak*x^k If a1, a2 and a3 are iun ...

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  19. Find the sum sum(j=0)^n(^(4n+1)Cj+^(4n+1)C(2n-j)) .

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  20. The coefficient of X^24in the expansion of (1+X^2 )^12(1+X^12)(1+X^24)

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