求和:1+(1+1⼀2)+(1+1⼀2+1⼀4)+……+(1+1⼀2+……+1⼀2^(n-1))

2024-11-01 20:28:33
推荐回答(1个)
回答1:

Sn=(2-1)+(2-1/2)+(2-1/4)+............{2-1/2^(n-1)}
=2*n-[1+1/2+1/4+..........1/2^(n-1)]
=2n-{2-1/2^(n-1)]
=2n-2+1/2^(n-1)