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在等差数列{an}中,a10=30,a20=50,bn=2^(an-10),求{nbn}前n项和
人气:147 ℃ 时间:2020-09-12 22:39:44
解答
先求a1和差距d,列个二元一次方程:a10 = a1 + 9 * d = 30a20 = a1 + 19 * d = 50解得a1 = 12d = 2于是,an = a1 + (n - 1) * d = 12 + (n - 1) * 2 = 2n + 10前面很简单,下面的方法是重点:带入到bn中,bn = 2^(2n)设{...
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