涓�绫绘暟鍒楃殑姹傚拰闂
銆愭憳
瑕併�戣
{an}
涓虹瓑宸暟鍒楋紝
{bn}
涓虹瓑姣旀暟鍒楋紝璁?/p>
伪n=bn
锛屾枃涓璁轰簡鏁?/p>
鍒?/p>
{伪n}
鐨勬湁闄愰」鐨勬眰鍜岄棶棰橈紱
褰?/p>
{bn}
婊¤冻涓�瀹氭潯浠舵椂锛?/p>
{伪n}
鐨勬墍鏈夐」鐨勫拰鐨勬眰瑙?/p>
闂锛涜
尾n=伪n2nn
锛屽綋鏁板垪
{尾n}
涓殑
{bn}
婊¤冻涓�瀹氭潯浠舵椂锛屾墍鏈夐」鐨勬眰鍜岄棶棰?/p>
绛夈�傚緱鍒颁簡涓�浜涚粨璁猴紝骞剁粰鍑轰簡鍑犱釜鏈夊叧鐨勪緥棰樸�?/p>
銆愬叧閿瘝銆戝樊姣旀暟鍒楋紱閫氶」锛涙眰鍜?/p>
鍦ㄦ暟瀛︾殑璁＄畻褰撲腑锛?/p>
鏈夋椂鎴戜滑浼氶亣鍒拌繖鏍蜂竴绫绘暟鍒楃殑姹傚拰闂锛?/p>
杩欑鏁板垪鍗?/p>
闈炵瓑宸張闈炵瓑姣旀暟鍒楋紝浣嗗畠鐨勬瘡涓�椤瑰彲浠ュ垎瑙ｄ负涓や釜鏁帮紙椤癸級鐨勪箻绉紝杩欎袱椤瑰垎
鍒瀯鎴愮瓑宸暟鍒楀拰绛夋瘮鏁板垪銆傚杩欑鏁板垪鎴戜滑鍏堢粰鍑哄涓嬪畾涔夈�?/p>
瀹氫箟锛氳
{伪n}
涓虹瓑宸暟鍒楋紝
{bn}
涓虹瓑姣旀暟鍒楋紝璁?/p>
伪n=
銆傜О鏁板垪
{伪n}
涓哄樊姣?/p>
鏁板垪鎴栦竴娆″樊姣旀暟鍒椼�傝
尾n=
锛岀О鏁板垪
{尾n}
涓?/p>
k
娆″樊姣旀暟鍒椼�?/p>
渚嬪鏁板垪
3
锛?/p>
2q
锛?/p>
q2
锛?/p>
鈥?/p>
q4
锛?/p>
鈥?/p>
2q5
锛?/p>
鈥?q6 鈥?/p>
涓轰竴娆″樊姣旀暟鍒楋紱鑰屾暟鍒?/p>
9
锛?/p>
4 q
锛?/p>
q2
锛?/p>
q4
锛?/p>
4q5
锛?/p>
9q6
锛?/p>
鈥?/p>
涓轰簩娆″樊姣旀暟鍒椼�?/p>
鎹瓑宸暟鍒楅�氶」鍏紡锛?/p>
伪n=伪1+
锛?/p>
n-1
锛?/p>
d
锛岀瓑姣旀暟鍒楅�氶」锛?/p>
bn=b1qn-1
锛屼粠鑰?/p>
宸瘮鍒?/p>
{伪n}
鐨勯�氶」涓?/p>
伪n=[伪1+
锛?/p>
n-1
锛?/p>
d] b1qn-1
锛屼负渚夸簬涔﹀啓鎴戜滑浠?/p>
伪1=伪
锛?/p>
b1=b
銆?/p>
1
姹傚樊姣旀暟鍒楀墠
n
椤圭殑鍜?/p>
鎴戜滑鍏堟潵姹傚樊姣旀暟鍒楃殑鏈夐檺椤圭殑鍜岋紝杩欐椂鍋囧畾
q=0
锛?/p>
1
璁?/p>
Sn= = =
浠?/p>
锛?/p>
1
锛?/p>
锛?/p>
1
锛?/p>
脳
寰楋細
锛?/p>
2
锛?/p>
锛?/p>
1
锛?/p>
-
锛?/p>
2
锛夊緱锛?/p>
鈭?/p>
浜庢槸锛屽嵆鍙緱鍑猴紝
锛堢粨璁?/p>
1
锛?/p>
鍒╃敤绛夊樊銆佺瓑姣旀暟鍒楃殑閫氶」鍏紡灏嗕笂鍏紡鍙彉涓猴細
锛堢粨璁?/p>
1`
锛?/p>