µÈ²îÊýÁÐ˵2an=a2n¶ÔÂð?,»òÕßÔÚʲôÇé¿ö϶ÔʲôÇé¿öϲ»...

ÕâÊDz»¶ÔµÄ£¬Ö»ÓÐÔÚ¹«²îµÈÓÚa1µÄʱºòÊǶԵģ¬¶øÆäËüµÄʱºò¾Í²»¶Ô¡£


Ϊʲôn=2ʱan=2n?

ÓÉ´Ë¿ÉÒԵóö an=a(n-1)x(2n-3) £¨n¡Ý2£©Ï£Íû¿ÉÒÔ°ïµ½Äã


ÊýÁÐ{an}ÖÐ,Sn - 2an=2n.(1)ÇóÖ¤{an - 2}ÊǵȱÈÊýÁÐ;(2)Èô...

(1)Ö¤Ã÷:¡ßSn-2an=2n,¢Ù¡àSn+1-2an+1=2(n+1).¢Ú¢Ú-¢Ù,µÃ:an+1-2an+1+2an=2,¡àan+1=2an-2,¡àan+1-2an-2=(2an-2)-2an-2=2,¡à{an-2}ÊÇ...


a2n²»ÊÇָżÊýÏîÂð?

µÚÒ»£¬Äã¿´ÌâÄ¿Àï¸øµÄanµÄ±í´ïʽ£¬¾ÍÊÇnÏîÏà¼ÓµÄÐÎʽ£¬°ÑÄǸö±í´ïʽÀïµÄnÈ«¶¼±ä³É2n¾ÍÊÇa2nÁË¡£µÚ¶þ£¬nÈç¹ûµÈÓÚ1µÄ»°£¬ÄÇôa2n¾ÍÊÇa2£¬ÕâÑù...


ÒÑÖªÊýÁÐ{an}µÄÇ°nÏîºÍΪSn,ÇÒSn=2an - 2(n¡ÊN*),ÊýÁÐ{...

¡àan+1=2an,ÓÖS1=2a1-2,a1=2,¹ÊÊýÁÐ{an}ÊÇÊ×ÏîΪ2,¹«±ÈÊÇ2µÄµÈ±ÈÊýÁÐ,ÊýÁÐ{an}µÄͨÏʽÊÇan=2n(n¡ÊN*),¡ßÊýÁÐ{bn}ÊǵȲîÊýÁÐ,ÇÒb1=3,b10-b4=6¡à6d=6,d=1...


Çó¸ß¶þÊýѧÏêϸ¹ý³Ì!:ÒÑÖªÊýÁÐanÇ°nÏîºÍSn=2an+2n,Çó...

n-1£©=2an+2n ¼´an=2An-1 -2 µÃan-2=2£¨an-1-2£©Éèbn=an-2 ËùÒÔb1=a1-2=s1-2=-4 bn=-4X2^£¨n-1£©an=bn+2=-4X2^(n-1)+2 ...


ÉèÊýÁÐ{an}µÄÇ°ÏîºÍΪSn=2an - 2nÇóa1a4

½â£ºÒÀÌâÒ⣺s1=2a1-2£¬a1=2 s2=2a2-4£¬a2=6 s3=2a3-6£¬a3=12 s4=2a4-8 £¬a4=28 ¡à a1=2£¬a4=28 ÈçÓÐÒÉÎÊ»¶Ó­×·ÎÊ Èç¹ûÂúÒâлл²ÉÄÉ ...


ÒÑÖªÊýÁÐ{an}Âú×ã:an+1=2an+2n+2,a1=2,(1)ÇóÖ¤ÊýÁÐ{an...

(1)an+1=2an+2n+2 an+12n+1=an2n+2,¡à{an2n}Êǹ«²îΪ2,Ê×ÏîΪa12=1µÄµÈ²îÊýÁÐ(2)ÓÉ(1)Öª:an2n=2n 1,¡àan=(2n 1) 2n,¹ÊSn=1¡Á2+3¡Á22+5¡Á23+...


ÊýÁÐanºÍa2nË­µÄÏî¸ü¶à?

Ò»Ñù¶à£¬ÕýÈçÕûÊýºÍżÊýÒ»Ñù¶à


ÊýÁÐ2µÄn´Î·½µÄÇ°nÏîºÍSnµÈÓÚ?

ÉèÊýÁÐ{an}µÄÇ°nÏîºÍΪSn=2an-2n, (¢ñ)Çóa1,a4 (¢ò)Ö¤Ã÷:{an+1-2an}ÊǵȱÈÊýÁÐ; (¢ó)Çó{an}µÄͨÏʽ. ÉèÊýÁÐanµÄÇ°nÏîºÍΪSn,ÈôSn=a1(3µÄn´Î·½-1)/2(¶ÔÓÚ...


Ïà¹ØËÑË÷

ÈÈÃÅËÑË÷