n + i X Z 
I 
( 5 2 5 ) 
ixn — m + i 
cc 
3 
— y — ~— 
4 5 
^ — &c. The Series — * — a — /3 — y — 
x 3 4 
muft confift of m Number of Terms. 
Let the ^Equation be x s — B x* -f- C x i — 
2 ) x 2 4 * E x — A — o , whofe Roots let be dy b , c, 
d , e, in which Cafe n = 5. Let A/= i?= ^ 4* 
b -|- c + d + e i then L — 1, N = G, m = 1, 
^ — <£j 2 + # ej 2 4- d d\f 4" u — e| 2 4" 
b — c \ 2 4- &c- = a ; therefore 
IX) 
14- 1 x 5 — ‘i 4- I 
X 
B 2 or — B 2 exceeds 1 x C by = — ~ X ^ 
5 14 - 1 x 5 - 
1 31 
— — a. ~ — Z a = ( becaufe Z ~ ) 
2k 2/ 
1 4 * 1 
* ~ 1 - 
— Z=. — a 
10 10 
4 + — X a — f|> -j </|’ + 
10 ■ 10 
&c. which is always a pohtive Number when the 
Roots a , by Cy d , e are real, pofitive or negative 
Numbers. Let M=C=ab-\-ac-{-a d-{~ 
a e 4- b c 4- &c. then L = B, N = T>, m — z, 
Z = d b — a c \ 2 d b — d d \ 2 4- d b — c d \ 2 4- 
d b — d e \ 2 4- a — db — d c \ 2 4- a b — a d \ 2 4- 
a b — d e | 2 4- &?- fi = a b •— c d \ 2 4~ * . — e e \ 2 4- 
- , 2 X ( mr « ^ 
— de \ 2 + ©**. therefore ===== — - x C 
2 - + 1 x 5 — 2 4 * 1 
