[ 2 3 ] 
Affiime A = A+ Bx + Cx s -f <£>*3 + &c. 
let this value, with that of A, be fubftituted in the 
laft equation : from whence, by comparing the ho- 
mologous terms, there will come out 
B — PA 
2 
cp _ TC—gB—RA 
3 
E _ e P c D—gC+RB—SA 
4 
F _ TE—gp+RC—SB+TA 
f 
r - ‘PF—SE+R'D—SC+TB—FA 
&c. 
Where the law of continuation is manifeft, and 
where it is alfo evident, that the value of ( A ) the 
hrft term of the required feries, mull: be an unit ; 
becaufe, when x—o y then the given expreffion be- 
m n p 
comes i xi xr =r. Q.E.L 
Corol. i. 
If a be taken = i, and n , />, q , &c. each = o ; 
then will P~m, R = m, And there- 
fore 
A= i 
B—m 
zQ—mB — mA 
§ < B 
