已知等差数列{An}的前n项和记为Sn,a5=15,a10=25 1.通项An 2.若Sn=112,求n
人气:363 ℃ 时间:2019-11-05 04:03:31
解答
1、a₅ = a₁ +4d =15a₁₀ = a₁ +9d =25则 a₁ =7 ,d=2即通项An=7+2(n-1)=2n+52、Sn =(a₁+an)n/2 = (12+2n)n/2 = n^2 + 6n =112即n^2 + 6n -112 =0(n -14)(n+8)=0...
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