已知数列{an},an=a^n+m(a<0,n∈N*)满足a1=2,a2=4,则a3=?
人气:295 ℃ 时间:2020-01-28 18:02:45
解答
a1=a+m=2 ①
a2=a²+m=4 ②
由②-①得
a²-a=2
a²-a-2=0
(a-2)(a+1)=0 (a<0,n∈N*)
所以a=2 代入①得m=0
故an=2^n
所以a3=2³=8
祝学习快乐!
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