1/2+1/2²+1/2³……+1/2的九十九次方看规律 1³=1²,1³+2³=3²,1³+2³+3³=6²……,试求6³+7³+L+14³
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/25 16:48:46
![1/2+1/2²+1/2³……+1/2的九十九次方看规律 1³=1²,1³+2³=3²,1³+2³+3³=6²……,试求6³+7³+L+14³](/uploads/image/z/3806998-70-8.jpg?t=1%2F2%2B1%2F2%26%23178%3B%2B1%2F2%26%23179%3B%E2%80%A6%E2%80%A6%2B1%2F2%E7%9A%84%E4%B9%9D%E5%8D%81%E4%B9%9D%E6%AC%A1%E6%96%B9%E7%9C%8B%E8%A7%84%E5%BE%8B+1%26%23179%3B%3D1%26%23178%3B%2C1%26%23179%3B%2B2%26%23179%3B%3D3%26%23178%3B%2C1%26%23179%3B%2B2%26%23179%3B%2B3%26%23179%3B%3D6%26%23178%3B%E2%80%A6%E2%80%A6%2C%E8%AF%95%E6%B1%826%26%23179%3B%2B7%26%23179%3B%2BL%2B14%26%23179%3B)
1/2+1/2²+1/2³……+1/2的九十九次方看规律 1³=1²,1³+2³=3²,1³+2³+3³=6²……,试求6³+7³+L+14³
1/2+1/2²+1/2³……+1/2的九十九次方
看规律 1³=1²,1³+2³=3²,1³+2³+3³=6²……,试求6³+7³+L+14³
1/2+1/2²+1/2³……+1/2的九十九次方看规律 1³=1²,1³+2³=3²,1³+2³+3³=6²……,试求6³+7³+L+14³
原式=(1‐1 ∕ 2)﹢{(1 ∕ 2‐1 ∕ 4)﹢(1 ∕ 4‐1 ∕ 8)﹢…﹢(1 ∕ 2^98‐ 1 ∕ 2^99)=1‐1 ∕ 2^99