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The sum of the coefficient in the expansion of `(1+ax-2x^(2))^(n)` is
A. positive, when `a lt 1` and `n = 2k, k in N`
B. negative, when `a lt 1` and `n = 2k + 1 , k in N`
C. positive, when `a gt 1` and `n in N`
D. zero, when `a = 1`

1 Answer

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Best answer
Correct Answer - A::B::C::D
To get the sum of coefficient,we put `x = 1`.
The, sum of coefficient in `(1+ax - 2x^(2))^(n)` is `(a-1)^(n)`
Obviously, when `a gt 1`sum is positive for any n.

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