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设{an}是等差数列(d不为0) a1=2 且a1 a3 a6 成等比数列 则{an}的前n项和Sn等于
人气:414 ℃ 时间:2020-01-27 22:15:24
解答
因为:a1,a3,a6成等比数列所以:a3^2 =a1 × a6(a1+2d)^2=a1×(a1+5d)a1^2 + 4a1 × d + 4 × d^2 = a1^2 + 5 × a1 × d得到:a1×d = 4×d×d又,d不为0所以:d = a1/4 = 1/2所以Sn = a1+(n-1)d/2=(n^2 + 7n)/4...
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