Alternating Sum of Coefficients

Rarely Tested

Alternating Sum of Coefficients

## Formula

For:

$$P(x)=(a+bx)^n$$

the alternating sum of coefficients is:

$$P(-1)=(a-b)^n$$

For:

$$(1+x)^n$$

the alternating sum is:

$$0$$

for:

$$n\ge1$$

## Usage

- Used to find the difference between sums of coefficients of even and odd powers.

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