观察下面式子的规律,并求出1³+2³+3³+……99³的值(1+2)²=9 1³+2³=9(1+2+3)²=36 1³+2³+3³=36······求:1³+2³+3³+…
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![观察下面式子的规律,并求出1³+2³+3³+……99³的值(1+2)²=9 1³+2³=9(1+2+3)²=36 1³+2³+3³=36······求:1³+2³+3³+…](/uploads/image/z/7223429-29-9.jpg?t=%E8%A7%82%E5%AF%9F%E4%B8%8B%E9%9D%A2%E5%BC%8F%E5%AD%90%E7%9A%84%E8%A7%84%E5%BE%8B%2C%E5%B9%B6%E6%B1%82%E5%87%BA1%26%23179%3B%2B2%26%23179%3B%2B3%26%23179%3B%2B%E2%80%A6%E2%80%A699%26%23179%3B%E7%9A%84%E5%80%BC%EF%BC%881%2B2%EF%BC%89%26%23178%3B%3D9+++++++++++++++++++++++++1%26%23179%3B%2B2%26%23179%3B%3D9%EF%BC%881%2B2%2B3%EF%BC%89%26%23178%3B%3D36+++++++++++++++++++1%26%23179%3B%2B2%26%23179%3B%2B3%26%23179%3B%3D36%C2%B7%C2%B7%C2%B7%C2%B7%C2%B7%C2%B7%E6%B1%82%EF%BC%9A1%26%23179%3B%2B2%26%23179%3B%2B3%26%23179%3B%2B%E2%80%A6)
观察下面式子的规律,并求出1³+2³+3³+……99³的值(1+2)²=9 1³+2³=9(1+2+3)²=36 1³+2³+3³=36······求:1³+2³+3³+…
观察下面式子的规律,并求出1³+2³+3³+……99³的值
(1+2)²=9 1³+2³=9
(1+2+3)²=36 1³+2³+3³=36
······
求:1³+2³+3³+……99³的值
【一定要式子哦】
观察下面式子的规律,并求出1³+2³+3³+……99³的值(1+2)²=9 1³+2³=9(1+2+3)²=36 1³+2³+3³=36······求:1³+2³+3³+…
(1+2)²=9 1³+2³=9
(1+2+3)²=36 1³+2³+3³=36
······
所以1³+2³+3³+……99³=(1+2+3+……+99)²
=4950²
=24502500