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(2008•卢湾区一模)C2n2+C2n4+…+C2n2k+…+C2n2n的值为()A.2nB.22n-1C.2n-1D.22n-1-1

题目详情
(2008•卢湾区一模)C2n2+C2n4+…+C2n2k+…+C2n2n的值为(  )

A.2n
B.22n-1
C.2n-1
D.22n-1-1
▼优质解答
答案和解析
由于C2n0+C2n2+C2n4+…+C2n2k+…+C2n2n =22n-1,C2n0=1,
故C2n2+C2n4+…+C2n2k+…+C2n2n =22n-1 -1,
故选:D.