简算:1\5*8+1\8*11+1\11*14+……+1\95*98+1\98*101
问题描述:
简算:1\5*8+1\8*11+1\11*14+……+1\95*98+1\98*101
答
1/5*8+1/8*11+1/11* 14+…1/95*98+1/98*101
=(1/5-1/8)/3+(1/8-1/11)+…(1/95-1/98)/3+(1/98-1/101)/3
=(1/5-1/101)/3=32/505