ChallengeMedium ShareChallenge · Medium problemCompute ∑k=050(−1)k(1002k)\displaystyle\sum_{k=0}^{50}(-1)^{k}\binom{100}{2k}k=0∑50(−1)k(2k100), expressing the answer as a signed power of 222.A−251-2^{51}−251B−450-4^{50}−450C−250-2^{50}−250D2502^{50}250Check Show answer Walk through it step by step Practice more like this