Mathematics
Senior High
Resolved
漸化式の考え方が分からないので教えてください🙇♀️
(1) (ay 3, an+1=2am (n=1, 2,3,.…)
で定義される数列{an}の一般項を求めよ.
(2) a1=5, an+1=3an-4 (n=1,2,3,
で定義される数列{an}の一般項を,
an+1
3an-4 が an+1−2=3(q
解答
(1) 数列 {an} は初項3,公比2の等比数列であるので
an=3.2n-1
(2) an+1−2=3 (an-2), 01-2=5-2=3だから
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