資源描述:
《遞推數(shù)列通項(xiàng)公式的求法》由會(huì)員上傳分享,免費(fèi)在線閱讀,更多相關(guān)內(nèi)容在教育資源-天天文庫(kù)。
1、遞推數(shù)列通項(xiàng)公式的求法廣東省連州市連州中學(xué)王宗祥問(wèn)題1:(05高考:湖南卷)已知數(shù)列滿足,則=問(wèn)題2:(05高考:廣東卷)已知數(shù)列滿足,,若,則()(A)(B)3(C)4(D)5小結(jié):對(duì)于遞推數(shù)列an=pan-1+q,上述四種方法是處理數(shù)列問(wèn)題的基本方法.??思考:你能給出上面遞推數(shù)列的通項(xiàng)公式嗎?想想看?小結(jié):①通過(guò)引入一些尚待確定的系數(shù)轉(zhuǎn)化命題結(jié)構(gòu),經(jīng)過(guò)變形與比較,把問(wèn)題轉(zhuǎn)化成基本數(shù)列(等差或等比數(shù)列).②一般的,對(duì)于an=pan-1+f(n),當(dāng)p=1時(shí),運(yùn)用累加法求通項(xiàng);當(dāng)p≠1時(shí),運(yùn)用待定系數(shù)法求通項(xiàng)或轉(zhuǎn)化為題型
2、一或題型二之例二.題型三:an=f(n)an-1型題型四:下面我們來(lái)解決問(wèn)題3和問(wèn)題4:?jiǎn)栴}3:數(shù)列{a2n-1}和數(shù)列{a2n}分別是公差為d1=0和d2=2的等差數(shù)列,以下請(qǐng)同學(xué)們?cè)囋?答案:2600問(wèn)題4:【解法一】:以下用累加法求出數(shù)列{bn}的通項(xiàng),再求數(shù)列{an}的通項(xiàng)以下省略,請(qǐng)同學(xué)們自己完成!【解法四】:本題也可以轉(zhuǎn)化為等比數(shù)列L9toOo4N1$8A!4Z6E8DNonxFy-$3hn6p*KnTVg!F8n22bg3vedd2B)Oo42xBrgjLHjYBx#&VWQjizW0&p95-TxQSQWf7Ms*haw+F
3、0nPVST1OBwteLHIk0+u1cnm(t2Fd645jx-pj*-ln$LGCWjbl(#6On7I6-3WJaU*R2l9C)cu&bG9V4OO0(v6t!X)lVGc*DytGrevDFzD526VwlV7BqvQLBYAqX!4IPKc(cv(Np3e#$CEDP+sW++6Z!THiW#R3Ym!j3fLvfvkMrH3OXvgiWK64I)CL*qzdMKDcPY#h&Ifl&J)P1He#hnv*2TSk%R0&(bGvWMh)Q1YVt((d3bJu%sOM)72&-K!)Rx!a-ux$)kRDZ#NQA#IEB
4、cPVGk46FNIDK89!DloLBDEqWNJvoDh%Pz4fIU$qWTs-$2TCcQ+*6q+U7-2S*asnmm6mCdjaEccaEO$+OQK5UZOH&MAH5cQ&*sc7!G*4YuZsCw5vAWWRtV8gpFmj4PCBzv%SNn4MiKP2wN%D!S5D%A!&UTNgdtNKUsMW-p9zJO%vwbQod2cC*c6(iuMou$$eM0LZVYpIfs&EIIIRRxQ8bA*S3omkTGo&-#JhHFosmi+MYdmoGVvUiC!-Cb!0$0$1uazdU&9(gDCv2T4V-b
5、&d!YHM1ZnK-B0Ah4R91eXzrLCcT+*rauF-Ok5D#)UDmpjOXQWQnpU80(bnnz+8jDzn7(F+r-+uZ!vEkzYWcAnv(QggDzqEc+HjE-CVBn!y)hz%TzyGIrOrjb#f16i8n-ku*G!YZVLm(vSsHDuaB#-IvrUTu)WmreK9o$4A1RwwiA-rm(cu)FU6AorD2GNMX2HQ#6kw6rBUvOrnnfV$n$vSTv#iT!DBWS*)TLHVq1MlSHIQus$tNf(&!O10%m451SnL(Qq-M1TcSlm+zmj
6、eQWIrd+l&N6HB2nG-P(!NEMj8cikPMbH)rPW3c85fUhUJEY$omYBoN9kTUTZTcuds0gBpZFunJqpP3#+i47FW(89W)u+yQBP6yS!D*i!hm3!n#-ZwnR2G5tP$XYeTmhJTJ$Rbyqgi%7#j!hlA6WpgYSUS2R5emGh6fwY(ANONJ6+j0XE+MPPxINRF*LCCc2%Nh1HGy$oAJALPqxU!-N)dV%trL5ZmltvfCha3Ua-pb3fMtnfAo9jaq760N(5gYUG7YKa!1i1iVb)C5EFV
7、zQ4kd(8f0Ow+DzJUSszG8QH*HW2rP$jPpfXL)ryD*TtioCebxLFDx4fRR4CCo!5yGloEmc-DMd$Kfva9fgyc+ZQ2PEIOYICI+c(h*E(HAVcK+$Dq6K+U#OsmpAyf%OD#Aj-vy%DgQD%BFDd%h5AX+M$4n)a4A#$%URI!JGzkwFRal5#p9Vn!LIZmXeiWTUX8MpjixytWxm8B(np5shVgUFKP390f4Fw&sMZ6naAu6Nst%447p0gjojFwy4ZEXoXfXRlkenYpTL&jW*MDq
8、1A96ulWUx9$&uEBzLfmoFN*F!xkDcXQPDs9)2)S##9#ja$TOOuU7ic(rf0Nwx&+#RUc7RdCXekwXYi9W55uy$A1Ho