在递增等差数列{an}中a4=-3,a1-2,a3,a5成等比数列求{an}和公差d
问题描述:
在递增等差数列{an}中a4=-3,a1-2,a3,a5成等比数列求{an}和公差d
答
a4=a1+3d=-3a1=-3d-3a3=a1+2d=-d-3a5=a1+4d=d-3a3²=(a1-2)a5d²+6d+9=(-3d-5)(d-3)=-3d²+4d+152d²+d-3=0(d-1)(2d+3)=0递增则d>0等于d=1a1=-3d-3=-6所以an=-6+(n-1)d=n-7