...不为0的等差数列,若a1,a2,a4成等比数列,则S5S10=( )A.14B.311C.1...
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发布时间:2024-10-01 15:56
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热心网友
时间:2024-10-17 15:18
∵等差数列{an}中,a1,a2,a4成等比数列,
∴a22=a1a4,即(a1+d)2=a1?(a1+3d),
∴d(a1-d)=0,又d≠0,
∴a1=d,
则S5S10=5a1+5×42d 10a1+10×92d=(5+5×42)d (10 +10×92)d=1555=311.
故选B
热心网友
时间:2024-10-17 15:17
∵等差数列{an}中,a1,a2,a4成等比数列,
∴a22=a1a4,即(a1+d)2=a1?(a1+3d),
∴d(a1-d)=0,又d≠0,
∴a1=d,
则S5S10=5a1+5×42d 10a1+10×92d=(5+5×42)d (10 +10×92)d=1555=311.
故选B