(1+17/96)+(1+17/96*2)+(1+17/96*3)+…+(1+17/96*94)+(1+17/96*95)
问题描述:
(1+17/96)+(1+17/96*2)+(1+17/96*3)+…+(1+17/96*94)+(1+17/96*95)
1+1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90
答
(1+17/96)+(1+17/96*2)+(1+17/96*3)+…+(1+17/96*94)+(1+17/96*95)=95+17/96*(1+2+3+…+95)=95+17/96*96*95/2=209/21+1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90=1+1/(1*2)+1/(2*3)+1/(3*4)+1/(4*5)+1/...