设等差数列{an}的前n和为Sn,若a7/a4=3,则S5/a5的值为

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设等差数列{an}的前n和为Sn,若a7/a4=3,则S5/a5的值为设等差数列{an}的前n和为Sn,若a7/a4=3,则S5/a5的值为设等差数列{an}的前n和为Sn,若a7/a4=3,则S5/

设等差数列{an}的前n和为Sn,若a7/a4=3,则S5/a5的值为
设等差数列{an}的前n和为Sn,若a7/a4=3,则S5/a5的值为

设等差数列{an}的前n和为Sn,若a7/a4=3,则S5/a5的值为
a7=3a4
a1+6d=3(a1+3d)=3a1+9d
a1=-3d/2
a5=a1+4d=5d/2
所以a1/a5=-3/5
S5=(a1+a5)*5/2
S5/a5=5/2*(a1+a5)/a5=5/2*(a1/a5+1)=5/2*(-3/5+1)=1

设等差数列{an}的前n和为Sn, 若a7/a4=3,则S5/a5的值为 1
等差数列的通项公式为:an=a1+(n-1)d
前n项和公式为:Sn=na1+n(n-1)d/2
a7 = a1 +6d,
a4 = a1 +3d
又a7/a4=3,即:(a1 +6d)/(a1 +3d) =3
解得:a1 = -1.5d
又Sn=na1+n(...

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设等差数列{an}的前n和为Sn, 若a7/a4=3,则S5/a5的值为 1
等差数列的通项公式为:an=a1+(n-1)d
前n项和公式为:Sn=na1+n(n-1)d/2
a7 = a1 +6d,
a4 = a1 +3d
又a7/a4=3,即:(a1 +6d)/(a1 +3d) =3
解得:a1 = -1.5d
又Sn=na1+n(n-1)d/2
故:S5 = 5a1 + 5 *4/2d = 5a1 +10d = -7.5d +10d = 2.5d
又a5 = a1 + 4d = -1.5d +4d = 2.5d
故:S5/a5 = 1

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设公差为d