顯然非等差數(shù)列-資料下載頁
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【導讀】Z+. (orA?andcallanaterm(項)ofthesequence.Example1.{an},wherean=1/n,n?Z+. a1=1,a2=1/2,a3=1/3,…Example2.{bn},wherebn=(-1)n,n?N. b0=1,b1=-1,b2=1,…1)a1=1,½,¼,1/8,…2)a1=1,-1,1,-1,…3)a1=5,11,17,23,29,…4)a1=2,16,54,128,250,432,686,…an=2n3forn=1,2,…an=(1/2)n-1,n=1,2,3,…an=(-1)n-1,n=1,2,3,…an=6n-1,n=1,2,3,…5,11,17,23,29,35,41,47,53,59?a3=17=11+6=5+6?2. an=5+6?(n-1)=6n-1. 1,7,25,79,241,727,2185,6559,19681,59047?猜測數(shù)列為3n?…{3n}:3,9,27,81,243,729,2187,…{an}:1,7,25,79,241,727,2185,…an=3n-2,n?1. Summations. jaaaa?????1. Example10.2???????j. iiij. x2,…}:. Or,ifX={x|P(x)},wemayjustwrite:. ...:1????jj. ...)()(:)(21????xfxfxf. i. -. -?Example14.S. 1,-??rrraar. 2????
【正文】 422???????????????????iiMore Summation Examples ? An infinite series with a finite sum: ? Using a predicate to define a set of elements to sum over: 2...1...222 4121100???????? ???ii874925947532 222210 p r i m e ) is (2 ????????????xxxCh29 Example 14. Table 2. Some useful summation formulae 6420}4,2,0{??????SS1 ,1)1( )1( 10?? ??? rrraarnnkk2)1( )2(1????nnknk6)12)(1( )3(12 ?????nnnkn
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