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If (1 + x+ 2x^(2))^(20) = a(0) + a(1) x ...

If `(1 + x+ 2x^(2))^(20) = a_(0) + a_(1) x + a_(2) x^(2) + …+ a_(40) x^(40)` .
The value of ` (a_(39))/(a_(40))` , is

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The correct Answer is:
c
From Eqs . (vi) nad (vii) , we get ` (a_(39))/(a_(40)) = (20(2)^(19))/(2^(20)) = 10 `
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ARIHANT MATHS-BIONOMIAL THEOREM-Exercise (Passage Based Questions)
  1. Consider (1 + x + x^(2))^(n) = sum(r=0)^(n) a(r) x^(r) , where a(0),...

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  2. Consider (1 + x + x^(2))^(n) = sum(r=0)^(n) a(r) x^(r) , where a(0),...

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  3. If (1 + x+ 2x^(2))^(20) = a(0) + a(1) x + a(2) x^(2) + …+ a(40) x^(40)...

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  4. If (1 + x+ 2x^(2))^(20) = a(0) + a(1) x + a(2) x^(2) + …+ a(40) x^(40)...

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  5. If (1 + x+ 2x^(2))^(20) = a(0) + a(1) x + a(2) x^(2) + …+ a(40) x^(40)...

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  6. Suppose ,m divided by n , then quotient q and remainder r {:("n)m(q"...

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  7. Suppose ,m divided by n , then quotient q and remainder r {:("n)m(q...

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  8. Suppose ,m divided by n , then quotient q and remainder r {:("n)m(q...

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  9. Consider the binomial expansion of R = (1 + 2x )^(n) = I + f , where...

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  10. Consider the binomial expansion of R = (1 + 2x )^(n) = I = f , where...

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  11. Consider the binomial expansion of R = (1 + 2x )^(n) = I = f , where...

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  12. If (x + a(1)) (x + a(2)) (x + a(3)) …(x + a(n)) = x^(n) + S(1) x^(n-1...

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  13. If (x + a(1)) (x + a(2)) (x + a(3)) …(x + a(n)) = x^(n) + S(1) x^(n-1...

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  14. If (x + a(1)) (x + a(2)) (x + a(3)) …(x + a(n)) = x^(n) + S(1) x^(n-1...

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  15. A= (5/2+x/2)^n, B=(1+3x)^m Sum of coefficients of expansion of B is ...

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  16. Sum of coefficients of expansion of B is 6561 . The difference of t...

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  17. Sum of coefficients of expansion of B is 6561 . The difference of t...

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  18. Let us consider the binomial expansion (1 + x)^(n) = sum(r=0)^(n) a(...

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  19. Let us consider the binomial expansion (1 + x)^(n) = sum(r=0)^(n) a(...

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  20. Let us consider the binomial expansion (1 + x)^(n) = sum(r=0)^(n) a(...

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