(1+1/3)(1+1/8)(1+1/15)…(1+1/99)

来源：学生作业帮助网编辑：作业帮时间：2024/05/04 15:28:04

(1+1/3)(1+1/8)(1+1/15)…(1+1/99)
(1+1/3)(1+1/8)(1+1/15)…(1+1/99)

(1+1/3)(1+1/8)(1+1/15)…(1+1/99)
(1+1/3)(1+1/8)(1+1/15)…(1+1/99)
=4/3×9/8×16/15×...×100/99
=(4×9×16×25×36×49×64×81×100)/(3×8×15×24 ×35 ×48×63 ×80×99)
=11/20