Introductio in analysin infinitorum

RECURRENTIBUS. 195 $C^3 - \frac{2aB}{A} + 6As \rbrace C^2 + \frac{(a^2+6)B^2}{A^2} - \frac{(ab+3y)AB}{A^2} + \frac{ay}{A^2} \rbrace C + \frac{-(a6-\gamma)B^3}{A^3} + \frac{(ay+66)AB^2}{A^3} - \frac{2byA^2B}{A^3} + \frac{\gamma\gamma A^3}{A^3} : 1$. CAP. XIII. Pendet ergo inventio termini $R$ ex duobus præcedentibus $P$ & $Q$ a resolutione æquationis cubicæ. 231. His de terminis generalibus Serierum recurrentium notatis, superest ut earundem Serierum summas investigemus. Ac primo quidem manifestum est summam Seriei recurrentis in infinitum extensæ æqualem esse fractioni ex qua oritur: cujus fractionis cum denominator ex ipsa progressionis lege pateat, reliquum est ut numeratorem definiamus. Sit itaque proposita hæc Series $A + Bz + Cz^2 + Dz^3 + Ez^4 + Fz^5 + Gz^6 + \&c.$, cujus lex progressionis præ [TRUNCATED]