等差数列{an}中,a4=10且a3,a6,a10成等比数列,求数列{an}前20项的和S20.
人气:135 ℃ 时间:2020-04-11 20:42:55
解答
设数列{an}的公差为d,则a3=a4-d=10-d,a6=a4+2d=10+2d,a10=a4+6d=10+6d.由a3,a6,a10成等比数列得a3a10=a62,即(10-d)(10+6d)=(10+2d)2,整理得10d2-10d=0,解得d=0或d=1.当d=0时,S20=20a4=200.当d=1时...
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