来自李双艳的问题
-0.25的2n-1次方乘4的2n-1次方加-1的2n次方加-1的2n+3次方
-0.25的2n-1次方乘4的2n-1次方加-1的2n次方加-1的2n+3次方
1回答
2020-07-17 10:22
-0.25的2n-1次方乘4的2n-1次方加-1的2n次方加-1的2n+3次方
-0.25的2n-1次方乘4的2n-1次方加-1的2n次方加-1的2n+3次方
-1的奇数次方是-1,-1的偶数次方是1
2n-1和2n+3是奇数,2n是偶数
所以
(-0.25)^(2n-1)*4^(2n-1)+(-1)^2n+(-1)^(2n+3)
=(-0.25*4)^(2n-1)+1+(-1)
=(-1)^(2n-1)+1-1
=-1+1-1
=-1