■6^ OBSERVATIONES DE SlNGVLARI 



Sic 11 quaeratur fumma progreffionis 



fin.2;'+fin. (2+1;)'+ rin. [z-\-'i.vf+ fin. (z-^-zvf-^- . . . + fin.(5r-v- «v/ 

 ea inuenietur 



«-j-j _ co/. (, g ^jto /-m. {n-t.,)v ^^^ ^^^^ ^j.jj 



fin.2'-f-Cn.(2+'y)'+fin.(2+2i7)'+fin.(5r4-3'y)' . . . +fin.(5:+n?;)':= 

 fin.(5r + 5»'y)fin/-^^V , fin.(3 g-t-fffT^fin. |(«+ i)y 



In genere autem habebitur 



fin.2;''"-»-'+fin.(s+vy"'-+-'+fin.(s+2iO""'^"+...+fin.(2r+«'y)""-^"= 



fin.(2;+^w)fin.!ttl^ fin.(35;+|«a;)fin.i^!y=iV fin.(5s+^Ki;)Gn.iL!r+iiL. 



A. 1 B — i ^-C — ^ l " 



fin.5^' fin.fi; iia.lv 



fin. (( 2 OT + r) s + 'L(?!ytL}.i;)(rn. (Idil^^l^iV 



2 



fin.z*'"+fin.(s+a;)='»+fin.(s+2i;)='"+fin.(^+3'y)""".... + lTn.f2;+«u)*™=r 



cof.(2 5; + «'y)fin..(«-|-i)'y cof.f^s^-f-awy^fin. 2(«+ 1)"^ 



«.«-^ — -^-y ;: ^ 



Im. V '■ lin.ai; 



cof.^awsr+ww^yjfin. w(«+ 1)1; 



— a^^—iinrm; ' 



cof:s''"-+-'+cof.(5;-!-v)""+'+cof.(5;+2iO'-'""^'+cof.(z+3a;)='"+'..4:of(s+«'i;)'"'+'ir 



cof.(s+ina7)(in.:yL' oj cof.^ga+rw-ylfin.^i^^i?- cof^ss+tM-ylfin.^^^V 



"n.jV fin.l-y lin.lv 



, cof ((2 OT + rysr+^ilH^-tlVar) fin. fi±:il!i!!!±iV 



coC2'"'+cof.Cs+'y')*'*+c6f.{2;+2i;}^'"+coC(«+5v}"" . , . +cof(5r+«i')"''rr 



