设等差数列前n项和为Sn,若a1=0.5,S4=20,则S6为
问题描述:
设等差数列前n项和为Sn,若a1=0.5,S4=20,则S6为
答
s4=(a1+a4)*4/2
=(2a1+3d)*2
20=(2*0.5+3d)*2
10=1+3d
d=3
s6=(a1+a6)*6/2
=(2a1+5d)*3
=(2*0.5+5*3)*3
=16*3
=48