计算(-1/2)+(-1/6)+(-1/12)+...+(-1/132)
问题描述:
计算(-1/2)+(-1/6)+(-1/12)+...+(-1/132)
答
=-(1/2+1/6+1/12+……++1/132)
=-(1/1*2+1/2*3+1/3*4+……+1/11*12)
=-(1-1/2+1/2-1/3+1/3-1/4+……+1/11-1/12)
=-(1-1/12)
=-11/12