已知公差为d(d≠0)的等差数列{an}满足:a2,a4,a7成等比数列,若Sn是{an}的前n项和,S10S5的值为_____

2025-03-03 05:00:02
推荐回答(1个)
回答1:

∵a2,a4,a7成等比数列,
∴(a1+3d)2=(a1+d)(a1+6d).
∴a1=3d,
∴Sn=na1+
n(n?1)
2
d=
n2+5n
2
d,
S10
S5
=
100+50
25+25
=3.
故答案为:3.