SERIEKVM GENERE. 6$ 



cof.i^z + niv^Cxtt {n-\-i)v cof.(^z-^ 2fw)Cn-\. z(fi~\- i)v 

 lin. v ' fin. 2 V 



cof. (2 ffi z -\~ m n v) Cm }}i(n-\-i)v 

 '""^ I^— fin.wv • 



Heic autem notandum cfl: , valores coefHcientium , 

 A, B, C etc. a, |3, y ex §. 14. defumendos efle. 

 Ex generalibus vero his expreffionibus nunc facile 

 perfpicitur , quomodo aflignari queant fummae pro- 

 greflionum , quac formantur ex quibusuis poteftatibus 

 finuum vel cofinuum pro huiusmodi feriebus , qua- 

 rum exempla attulimus in §§. 5 et 9. Superuaca- 

 neum autem eflet , ad cafus huiusmodi fpeciales heic 

 defcendere velle , id tantum obferuare licebit , quod 

 vti fupra deraonftrauimus efle 



cofir-i-coCssH-cof. s^-f-cof^^-hetc. — o, 

 etiam in genere eflTe debere 

 cof ;s^"'-^'+coC3s''"-*-'4-cof.Ss""-»-'+cof.7S'-'"-^'etc.ro. 



17. Ex principils fupra ftabilitis etiam ador- 

 nari poflTijnt fummationes huiusmodi ferierum 

 • Cw.z+zCm.{z-\-'v)-[-2^in.(z-\-2v)^-A.C\n.iz+2v) . .. -\-{fi-\-i)Cm.{z+nv) 

 coC.z-\-2coC.(iz+v)-\-^coC.{z-\-2'u)-\-^coC.{z-\-^v)..,-\-{fi-\-i)coC.(z\nv)* 



Quod cnim priorem attinet pofita eius fumma S , 

 totaque ferie in 2 fin. 5 <v ducta , prodibit 



iiSCm.lv-coC.^z-lv^-^-coC.^zi-lvy^-coCiz-^-lv) . . . -\-cof.{z-\-{fi-dv) 



-(«4-i)cof(2r+(«+')v) 



at terminorum pofitiuorum fumma ex Theor. II. 

 deducitur 



Tom. XVIII. Nou.Comm. I fin.(« 



\ 



