Mathematics
Senior High
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数Ⅲの数列の極限の範囲です
⑵の解き方はあってますか?
もっとわかりやすくできるところがあったら教えてほしいです
問15
次のように定められる数列{an} について, 極限を調べよ。
__ 1
(1) α1=2, an+1=- +4 (n=1,2, 3, ......)
3 an
(2) a1=2, an+1=3an-1 (n=1, 2, 3, ……………)
(2) Al = 2. Au+1 = 3an-1
x=30-1
α-30=-1
-20=-1 α=1/
Auti -± = 3 (an-2) an
2
{ An - ± } & line sick hu+1=3hu
3
初項b12-1/2-2/2/2、公比子の等比数列
3
3
2
3
4
an += 3/3134-1
3
2
a-l
and fight + !
2
2
a
lim an = lim (1) gay +½)
0
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