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If (1-x+x^2)^n=a0+a1x+a2x^2+ .........+a...

If `(1-x+x^2)^n=a_0+a_1x+a_2x^2+ .........+a_(2n)x^(2n),\ ` find the value of `a_0+a_2+a_4+........+a_(2n)dot`

A

`(3^(n) +1)/(2)`

B

`(3^(n) -1)/(2)`

C

`(3^(n -1) +1).(2)`

D

`(3 ^(n-1) -1)/(2)`

Text Solution

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The correct Answer is:
A
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OBJECTIVE RD SHARMA ENGLISH-BINOMIAL THEOREM AND ITS APPLCIATIONS -Exercise
  1. If a1,a2, a3, a4 be the coefficient of four consecutive terms in the e...

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  2. The coefficient of x^r[0lt=rlt=(n-1)] in the expansion of (x+3)^(n-1)+...

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  3. If (1-x+x^2)^n=a0+a1x+a2x^2+ .........+a(2n)x^(2n),\ find the value o...

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  4. The coefficient of x^m in (1+x)^m +(1+m)^(m+1) +...+(1+x)^n ,m≤n is

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  5. the coefficient of x^(7) in (ax - b^(-1) x^(-2))^(11) is

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  6. Find the coefficient of x^5 in the expansion of (1+x^2)^5(1+x)^4.

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  7. Find the greatest term in the expansion of sqrt(3)(1+1/(sqrt(3)))^(20)...

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  8. If T0,T1, T2, ,Tn represent the terms in the expansion of (x+a)^n , t...

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  9. about to only mathematics

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  10. If the coefficients of three consecutive terms in the expansion of (1+...

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  11. The second, third and fourth terms in the binomial expansion (x+a)^na...

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  12. The value of tan75

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  13. If the coefficients of the (2r+4)t h ,(r+2)t h term in the expansion o...

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  14. Write the middle term in the expansion of (x+1/x)^(10)dot

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  15. The 14^(th) term from the end in the expansion of (sqrt(x ) - sqrt(y)...

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  16. If [x] denotes the greatest less than or equal to x and F = R - [R]...

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  17. If [x] denotes the greatest integer less then or equal to x, then ...

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  18. If n in N such that (7 + 4 sqrt(3))^(n) = I + F , then IF is

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  19. Find n in the binomial (2^(1/3)+1/(3^(1/ 3)))^n , if the ration 7th te...

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  20. The sum of the coefficients in (1+x-3x^2)^2143 is

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