A474 ON THE SUMMATION OF SERIES, 
Now by the addition of these equations there 
will result, 
F(2)=f (ox) +(A-+N’)f (ax) + (B+ Ade + a), 
II 2 3 III 
f (00) +(C+BW + AN ca }f (00) +(D+0H' Hi 
1 1.2 2.3. 
Ba AW 4h ae (oa) +(B4+D4 W +O. M4 Bhe 
‘2% 12.3 1.2.3.4 1.2.3 
a AN’ shel oor (Oe Ja aC. UC. se vsc nce ceeen (6) 
“T23.4 1.2.3.4.5 
where A+>=0; B+ +5570; C+e tht 
D 
ce 33403 D+$ ytoatagatagag=o E+ 9+ 
Cc B A 
731334 +9 ssastagase= &e., &e., &e. 
Hence, from these conditional equations, the 
values of A, B, C, D, &c., &c., may be readily 
calculated. 
= a ee Le = ai Te 
Fh aor B=; 9 — Bigs C=0; D= 30 
l panes Bs é . ee l el Fy 
734i ae g.4? E=0; F= =a rsa5e= 2.3.4.5.6’ 
1 1 B 
G=0; H=-;—--- = --——_—- = &e. 
30 2.3.4.5.6.7.8 2.3.4.5,6.7.8 
