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If log(1-x+x^2)=a1x+a2x^2+a3x^3+……… then...

If `log(1-x+x^2)=a_1x+a_2x^2+a_3x^3+………` then `a_3+a_6+a_9+………` is equal to

A

log2

B

2/3 log2

C

1/3 log2

D

2log2

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The correct Answer is:
B
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PATHFINDER-BINOMIAL THEOREM-QUESTION BANK
  1. The coefficient of x^m in (1+x)^r+ (1+x)^(r+1)+(1+x)^(r+2)+………+(1+x)^n...

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  2. The coefficient of x^ny^n in the expansion of {(1+x)(1+y)(x+y)}^n is

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  3. If log(1-x+x^2)=a1x+a2x^2+a3x^3+……… then a3+a6+a9+……… is equal to

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

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  5. The number of integral terms in the expansion of (3^(1/2)+2^(1/2))^(50...

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  6. The least (positive) remainder when 17^(30) is divided by 5 is

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  7. The coefficient of x^(17) in the expansion of (x-1)(x-2)……..(x-18) is

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  8. The number of terms in the expansion of (a+b+c)^n where ninN is

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  9. The sum of the rational terms in the expansion of (sqrt2+3^(1/5))^(10)...

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  10. The greatest coefficient iin the expansion of (x+y+z+t)^(15) is

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  11. If (1+x)^n=sum(r=0)^n .^nCr x^r then sum(r=m)^n .^rCm is equal to

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  12. Let n be a positive integer such that (1+x+x^2)^n=a0+a1x+a2x^2+…….+a(2...

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  13. Give the integers rgt1 , ngt2 and c0-efficients of (3r)^th and (r+2)^(...

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  14. If n in I^+ the value of sum(k=1)^n k^3 (^nCk)/(^nC(k-1))^2

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  15. In a triangle ABC the value of sum(r=0)^(50) ^(50)Cr a^rb^(50-r) cos(R...

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  16. The value of "^30C0.^30C10+^30C1.^30C11+^30C2.^30C(12)+……+^30C(20) . ^...

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  17. The number of distinct terms in the expansion of (x^3+1+(1/x^3)): xinK...

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  18. The number of integral of integral terms in the expansion of (17^(1/3)...

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  19. The expression (x+sqrt(x^3-1))^7+(x-sqrt(x^3-1))^7 is a polynomial of ...

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  20. The coefficient of x^(50) in (1+x)^(41)(1-x+x^2)^(40)is

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