ÌâÄ¿ÄÚÈÝ
ÎÒ¹úÊÇÒ»¸öÈË¿Ú´ó¹ú£¬Ëæ×Åʱ¼äÍÆÒÆ£¬ÀÏÁ仯ÏÖÏóÔ½À´Ô½ÑÏÖØ£¬Îª»º½âÉç»áºÍ¼ÒͥѹÁ¦£¬¾ö¶¨²ÉÓÃÑøÀÏ´¢±¸½ðÖƶȣ®¹«ÃñÔÚ¾ÍÒµµÄµÚÒ»Äê½»ÄÉÑøÀÏ´¢±¸½ð£¬ÊýĿΪa1£¬ÒÔºóÿÄê½»ÄɵÄÊýÄ¿¾ù±ÈÉÏÒ»ÄêÔö¼Ód(d>0)£¬Òò´Ë£¬ÀúÄêËù½»ÄɵĴ¢±¸½ðÊýÄ¿a1£¬a2£¬¡£¬anÊÇÒ»¸ö¹«²îΪdµÄµÈ²îÊýÁУ®Óë´Ëͬʱ£¬¹ú¼Ò¸øÓèÓŻݵļÆÏ¢Õþ²ß£¬²»½ö²ÉÓù̶¨ÀûÂÊ£¬¶øÇÒ¼ÆË㸴Àû£®Õâ¾ÍÊÇ˵£¬Èç¹û¹Ì¶¨ÀûÂÊΪr(r>0)£¬ÄÇô£¬ÔÚµÚnÄêÄ©£¬µÚÒ»ÄêËù½»ÄɵĴ¢±¸½ð¾Í±äΪa1(1£«r)n£1£¬µÚ¶þÄêËù½»ÄɵĴ¢±¸½ð¾Í±äΪa2(1£«r)n£2£¬¡£¬ÒÔTn±íʾµ½µÚnÄêËùÀۼƵĴ¢±¸½ð×ܶ
(1)д³öTnÓëTn£1(n¡Ý2)µÄµÝÍƹØϵʽ£»
(2)ÇóÖ¤£ºTn£½An£«Bn£¬ÆäÖÐ{An}ÊÇÒ»¸öµÈ±ÈÊýÁУ¬{Bn}ÊÇÒ»¸öµÈ²îÊýÁУ®
(1)д³öTnÓëTn£1(n¡Ý2)µÄµÝÍƹØϵʽ£»
(2)ÇóÖ¤£ºTn£½An£«Bn£¬ÆäÖÐ{An}ÊÇÒ»¸öµÈ±ÈÊýÁУ¬{Bn}ÊÇÒ»¸öµÈ²îÊýÁУ®
£¨1£©Tn£½Tn£1(1£«r)£«an(n¡Ý2)£¨2£©¼û½âÎö
(1)½â£ºÓÉÌâÒâ¿ÉµÃ£ºTn£½Tn£1(1£«r)£«an(n¡Ý2)£®
(2)Ö¤Ã÷£ºT1£a1£¬¶Ôn¡Ý2·´¸´Ê¹ÓÃÉÏÊö¹Øϵʽ£¬µÃ
Tn£½Tn£1(1£«r)£«an£½Tn£2(1£«r)2£«an£1(1£«r)£«an£½¡£½a1(1£«r)n£1£«a2(1£«r)n£2£«¡£«an£1(1£«r)£«an£¬¢Ù
ÔÚ¢ÙʽÁ½¶Ëͬ³Ë1£«r£¬µÃ
(1£«r)Tn£½a1(1£«r)n£«a2(1£«r)n£1£«¡£«an£1(1£«r)2£«an(1£«r)£¬¢Ú
¢Ú£¢Ù£¬µÃrTn£½a1(1£«r)n£«d[(1£«r)n£1£«(1£«r)n£2£«¡£«(1£«r)]£an£½[(1£«r)n£1£r]£«a1(1£«r)n£an.
¼´Tn£½(1£«r)n£n£.
Èç¹û¼ÇAn£½(1£«r)n£¬Bn£½££n£¬ÔòTn£½An£«Bn.ÆäÖÐ{An}ÊÇÒÔ(1£«r)ΪÊ×ÏÒÔ1£«r(r>0)Ϊ¹«±ÈµÄµÈ±ÈÊýÁУ»{Bn}ÊÇÒÔ££ÎªÊ×ÏÒԣΪ¹«²îµÄµÈ²îÊýÁÐ
(2)Ö¤Ã÷£ºT1£a1£¬¶Ôn¡Ý2·´¸´Ê¹ÓÃÉÏÊö¹Øϵʽ£¬µÃ
Tn£½Tn£1(1£«r)£«an£½Tn£2(1£«r)2£«an£1(1£«r)£«an£½¡£½a1(1£«r)n£1£«a2(1£«r)n£2£«¡£«an£1(1£«r)£«an£¬¢Ù
ÔÚ¢ÙʽÁ½¶Ëͬ³Ë1£«r£¬µÃ
(1£«r)Tn£½a1(1£«r)n£«a2(1£«r)n£1£«¡£«an£1(1£«r)2£«an(1£«r)£¬¢Ú
¢Ú£¢Ù£¬µÃrTn£½a1(1£«r)n£«d[(1£«r)n£1£«(1£«r)n£2£«¡£«(1£«r)]£an£½[(1£«r)n£1£r]£«a1(1£«r)n£an.
¼´Tn£½(1£«r)n£n£.
Èç¹û¼ÇAn£½(1£«r)n£¬Bn£½££n£¬ÔòTn£½An£«Bn.ÆäÖÐ{An}ÊÇÒÔ(1£«r)ΪÊ×ÏÒÔ1£«r(r>0)Ϊ¹«±ÈµÄµÈ±ÈÊýÁУ»{Bn}ÊÇÒÔ££ÎªÊ×ÏÒԣΪ¹«²îµÄµÈ²îÊýÁÐ
Á·Ï°²áϵÁдð°¸
Ïà¹ØÌâÄ¿