1/12x13 1/13x14 ... 1/19x20 请教解法,谢谢
热心网友
1/12x13 = 1/12 -1/131/13x14 = 1/13 -1/14余此类推。所以1/12 -1/13 + 1/13 - 1/14 + …… + 1/19 - 1/20 = 1/12 -1/20 = 1/30
1/12x13 1/13x14 ... 1/19x20 请教解法,谢谢
1/12x13 = 1/12 -1/131/13x14 = 1/13 -1/14余此类推。所以1/12 -1/13 + 1/13 - 1/14 + …… + 1/19 - 1/20 = 1/12 -1/20 = 1/30