Find the value of the sum
\[\binom{99}{0} - \binom{99}{2} + \binom{99}{4} - \dots - \binom{99}{98}.\]
Question:
Find the value of the sum
\[\binom{99}{0} - \binom{99}{2} + \binom{99}{4} - \dots - \binom{99}{98}.\]
Answer:
Let's think step by step.

user
-2^{49}
Find the value of the sum
\[\binom{99}{0} - \binom{99}{2} + \binom{99}{4} - \dots - \binom{99}{98}.\]
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