124 PROBLEMA ALGEBRAICVM. 



,n-5 



1. 2. 3 ^ ' 



adeoque multiplicato vtroque membro per fin. z > 

 erit prius :iz{ii\,(n-\-i)z ^ pofterius vero zr^fm. «2; , 

 vnde acquatio noftra (G) in iianc tranfit ^. fm. f«-l-i)5; 

 zn d fm. n z , pofito quod 2 cof. z zn y Similiter 

 autem ex aequatione (H) , feqiiens orietur aequatio : 



ft^(cof. zy^{n - 1 ) ^'^-^(cof. ^j^^^-^+CtLifl^Tzi^a»-^ (cof zf'' 



_(n-z)[n-.Hn^ 2"--'(cof zf-' + CtC. 

 _.(i_£}^,»i-i(c0f zf-^-in-z) 2^-^(c0f Zf-'-}- (rt-3Xn-^^n>-5 



(cof^s^^^-^-etc.) 



^-^^( 2«-^ (cof ;s)"-^- (« - 3)2^-(cof xr )"-^4- fi:r:iKj:il) 2^-«^ 



( cof z )""^ - etc. ) , 



qua deinceps multiplicata per fm. z , prouenit haec 

 aequalitas : 



e, fm. {n^j^ztiz^d—e^Cm.nz-^d. fm. («— 1)3 



in quam itaque (H) transformatur ponendo «-2^ cof 51; 

 vnde etiam ob 



fm. («-4-i)2rr 2fm. nz. cof. z — Gn. («— 1)5; , 



deducitur («^-^— </)fm. «;sn(</-i-^)fm. («— 1);2?. 



15. Denique et obferuari merctUr , quod pro- 

 blcmatis allati folutio , cum vfu adhiberi poflit , ad 

 alias de progrelTionibus geometricis quaeftiones fol- 



vea- 



