i58 AivOYSii Casinelli 



cujus (li/Terentlae primae costiluunt sen'cm praeceJenlcni (5). 



Terminus n esimus sive geiieralis seriei (6) crit aggiegaluni 

 producioriira ex primis (rt-f-2) numeris seriei naluralis 1,2, 

 3,4,5 etc. icrnis sumpiis. 



Termini seriei (6) mullipliccnUir per lerminos seriei (i) 

 excepiis Irihus prioribus scilicet 6 per 4? 5o per 5, 225 per 

 6 etc. 



Orietur series. 



(7) 24,2J0,1 350,5145 J5680,40824,94500,199G50,392040.725010, 

 1275274 etc. 

 Ex hac serie (Jcducitur seqnens 



(8) 24,274,1G24,67G9,22449,63273,157773,357423,749463,1474473, 

 2749747 eic. 

 cujus differentiae primae constiluunt serieco precedeutem (7). 



Terminus n esimus seu gcneralis seriei (8) est aggregatum 

 productorum ex primis («-t-3) Icrroinis seriei naluralis qua- 

 lernis sumpiis . 



Eodem calcnlo invenire possumns seriera, cujus terminus 

 generalis sit agregalum productorum ex primis (n-t-4) ter- 

 minis seriei naluralis quinis sumpiis etc. 



Ad inveniendam vero horum lerrainorum generalium for- 

 mam , observo primum eas series esse generis arilhraetici, nam 

 scries (4) cosiantes habet differentias quarias;, series (6) con- 

 stantes habet diflferenlias sexlas;, series (8) constantes habet 

 differentias octavas etc. 



Hoc posito ex ipsis seriebus deducanlur omnes series dif- 

 ferenliarum , atqne ex (4) habebiraus. 

 Series (4) 2,11,35,85,l75,S22,54(>,870,1320,192o,2717 etc. 



Differ, primae 9,24,50,90,147,224,324,450,605,792 etc. 



Differ, sccundae 15,26,40,57,77,100,126,155,187 etc. 



Differ, teniae 11,14,17,20,23,26,29,32 etc. 



Differ, quariae constantes 3,3,3,3,3,3,3 etc. 



