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Let f(x)=a0+a1x+a2x^2+.....+anx^n+....an...

Let `f(x)=a_0+a_1x+a_2x^2+.....+a_nx^n+`....and `f(x)/(1-x)=b_0+b_1x+b_2x^2+.....+b_nx^n+`...., then

A

`b_n+b_(n-1)=a_n`

B

`b_n-b_(n-1)=a_n`

C

`b_n/b_(n-1)=a_n`

D

None of these

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The correct Answer is:
B
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PATHFINDER-BINOMIAL THEOREM-QUESTION BANK
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  2. The sum of rational in (sqrt2+root(3)(3)+root(6)(5))^10 is equal to

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  3. Let f(x)=a0+a1x+a2x^2+.....+anx^n+....and f(x)/(1-x)=b0+b1x+b2x^2+.......

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  4. If (1-x^2)^n=sum(r=0)^narx^r(1-x)^(2n-r), then ar is equal to

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  5. The largest term in the expansion of (3+2x)^50, where x=1/5, is

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  6. The sixth term in the expansion of {2^(log2root(5)(9^(x-1)+7))+1/2^(1/...

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  7. The value of sum(r=0)^(20)r(20-r)(^(20)Cr)^2 is equal to ?

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  8. The value of sum(r=1)^(n+1)(sum(k=1)^n^kC(r-1)) (where r, k, n in N) i...

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  9. sum(r=0)^(300)arx^r=(1+x+x^2+x^3)^(100). If a=sum(r=0)^(300)ar, then s...

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  10. Coefficient of x^50 in (1+x)^(1000)+2x(1+x)^(999)+3x^2(1+x)^(998)+.......

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  11. C0/2-C1/3+C2/4-C3/5+.... is equal to

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  12. The coefficient of x^7 in the expansion of (1-x-x^2+x^3)^6 is

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  13. Let (1+x^(2))^(2) (1+x)^(n) = underset(k = 0)overset(n+4)suma(k)x^(k)....

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  14. Coefficient of x^n in the expansion of (1+x)^(2n) is

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  15. If (1+x+x^2)^n=a0+a1x+...+a(2n)x^(2n) then

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  16. The coefficients of x^7 in the expansion of (x^3+3x+3/x+1/x^3)^5 is

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  17. 3^(2n+2)-8n-9 is divisible by

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  18. If (x+1/x+x^2+1/x^2)^11=a0x^(-22)+a1x^(-21)+.....+a44x^(22), then a0+a...

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  19. If (8+3sqrt7)^n=P+F, where P is an integer and F is a proper fraction,...

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  20. Let n=3^(100), then for n

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