# Very alternating binomial coefficients

**Algebra**Level 5

If the sum

\[\sum_{k = 0}^{49} (-1)^k {99 \choose 2k}\]

is written in the form \(a^b\), where \(a, b\) are integers and \(b\) is as large as possible, what is \(a+b\)?

If the sum

\[\sum_{k = 0}^{49} (-1)^k {99 \choose 2k}\]

is written in the form \(a^b\), where \(a, b\) are integers and \(b\) is as large as possible, what is \(a+b\)?

×

Problem Loading...

Note Loading...

Set Loading...