1又1⼀2-2又5⼀6+3又1⼀12-4又19⼀20+5又1⼀30-6又41⼀42

2024-12-29 13:39:52
推荐回答(1个)
回答1:

=1+1/2-3+1/6+3+1/12-5+1/20+5+1/30-7+1/42
=-6+(1/2+1/6+1/12+1/20+1/30+1/42)
=-6+[1/(1*2)+1/(2*3)+1/(3*4)+...+1/(6*7)]
=-6+[(1/1-1/2)+(1/2-1/3)+...+(1/6-1/7)]
=-6+(1-1/7)
=-5又1/7