等差数列{an}的公差不为零,首项a1=1,a2是a1和a5的等比中项,则数列{an}的前10项之和是( )
A.90
B.100
C.145
D.190
.由题意知,(a1+d)2=a1(a1+4d),
即a12+2a1d+d2=a12+4a1d,
∴d=2a1=2.
∴S10=10a1+
d=10+90=100.10×9 2
故选B
等差数列{an}的公差不为零,首项a1=1,a2是a1和a5的等比中项,则数列{an}的前10项之和是( )
A.90
B.100
C.145
D.190
.由题意知,(a1+d)2=a1(a1+4d),
即a12+2a1d+d2=a12+4a1d,
∴d=2a1=2.
∴S10=10a1+
d=10+90=100.10×9 2
故选B