SETdES SVMMANDI VLTERIFS PROMQTJ. j^p 



a e-f-5 a-\-ib k 



A-hB-I-C hXrrS 



\bi indiccs qiuntitate b crefcunt, primique terinini A 

 iiidcx eft a. Ponaiur huius leriei liimma —S^ in qua 

 cxpreflione fi loco x fubftituatur x—b^ perfpicuum eft 

 eam exhibituram fummnm eandem demto X feu fore 

 aequuicm ipfi S — X. At fi in S loco x ponatur ^t— ^ 

 tiim prodibit S - 75^ -h rTd? - rTTd^j -H ^tc. vnde ha- 

 b/tur fequens aequatio X _ ^^ -T^^-hrTrTd^^- r:7i:.d^ 

 •+• etc. Ex hac vero aequatione elicitur ifta formula 



^ — J b I 1. 1 ' i.2.3.2djc i.c^ ♦.s.edsc* ~i 1.2.3 -- - v.idx* 



z V d^Ti sb Sd^y. 691 6" d"X 



1.1.3 - - — 9. lodx' ' 1. 1.3 ii.tfdx* 1.2. 3 - — i5.2iodi'* 



3S*'M'JX iS.^f d'«X , t*232796"d^'X 



1.1.3 15. idx" J.2.J i7.::odJi.'5 I 1.^.3 15. lijocix'*^ 



ctc. cui expreffioni tanta quantitas conftans eft adden- 

 da vt pofito x~a fiat S~A, vel pofito xcz.a—b 

 fiat S~o. 



§. 5. Si ponatur X = a;'', feu fl inuenienda fit 

 fumma huius feriei tf"-f-(<z-+-^)''-i-(<7-f-2^)"-i 



•^ «H-i ' dx dx' 



(n— I )(« — 2).r*~* etc Hinc ergo erit fumma quae- 

 ^ <, .r"-»-' a" nbx^—' n(n-i](n-2)b\x'^-' 



{n-j-i)b 1.2 1.2.3.2 1.2.3.4.5,(5 



«f«-i)(«-2)r«-3)(«-4)^*A-"-^ ^^^ «"-+-' 



I. 2. 3. 4. 5. 6. 7. 6 {n-\-i)b 



a" «^«"-' . n{n-t)(n--2)b'a^' 



I. a 1.2..3.2 I. 2. 3. 4. 5. 6 



T 3 n{n-j} 



