90 Appendix to a Method of extending 
to exhibit the value of x in the equation x z —qx — r , in 
t*he fecond cafe of it (in which - is lefs than — ), to a 
confiderable degree of exactnefs than the former ex- 
preffion s/ l e x the feries 2 + — See. 
L 9 ee 243** 6 56 ir 
A Computation of the four JirJl f rrms of the Series- 
obtained in Art. 5.- 
Art. 7. The firft fifteen terms of the infinite feries. 
which is equal to the cube-root of 1 + ~ are as follows ; 
fo wif t + g 1 S g3 ' IOz * , *54 gl> , 26l3z? 935^ 8 , 
* 3? gee 8if 3 243d? 4 7290 s 65610* 13 7, 7810* 59,0490 s 
■S°$ 
? 59 I 3 * , ° , 147,407*” 1,179,256s 1 * 3,i74,920z , s 
T a rr ✓ i 'y "a 
i.594.3- ! J« 9 4>7 82 j9 6 9^ ,C ’ i 4»34 8 »9°7?“ 12 9»»4<>»j63« 11 + 387,420, 48 9 f 13 “ 
60,323,480a 4 + g^ c . or j n decimal fractions, i + 
8,i35,83°,269f 14 77 7 
. 333 > 333 > 333 > &c. * -7 - .111,111,111, fee. x ^ +- 
.061,728,395, See. X -j- - .041,152,263, 8ec. x — + 
•°3°> i 78,326, See. x j - .023,472,031, 8cc. x J? + 
7 8" 
.019,001,167, SCC. X J - .015,834,305, &C. X ~ + 
.013,488,482, Sec. x j - .011,690,017, Sec. x ~ + 
.0x0,273,045, Sec. x - .009,131,595, 8ec. x ~ + 
.008,195,021, 8ec. x - .007,414,542, 8ec. x h- 4 . 
Therefore the four firft terms of the feries — + + 
ee * 
