of Infinite Series . 
m 
TABLE IV. 
Sum of — + — + — + See. ad infinitum . 
_ W .It .ft 
3 5 7 
Sum 
ss 
11 
Sum 
. . 
ss I 
11 1 
=^33700550136 
2 
n H = ,000000209240 
14 i 
b n =,051799790264 
3 
= ,000000069724 
*5 
c " = ,0 1 467803 1 604 
4 
p tf = ,0000000232 34 
16 
d' r =,00452376260 
5 
y' 7 = ,000000007744 
17 
e " =,001447076640 
6 
r" =,000000002581 
8 
f " =,000471548657 
7 
j" = ,000000000864 
19 
g " =,000155179025 
8 
t' r = ,000000000286 
20 
ti ' =,000051345183 
9 
= ,000000000095 
21 
i " = ,000017041362 
10 
w" = ,000000000032 
22 
k " = ,00000566605 1 
x 1 
=,000000000011 
2 3 
/" = ,000001885848 
X 2 
jy // =,000000000004 
24 
m " =,000000628055 
*3 
%" = ,000000000001 
’5 
PROP. i. 
^To find the futn of the films of the reciprocal fquares^ cubss t 
&c. &c. ad infinitum . 
By divfion — l — — + 7 + &c. ad inf ; hence if we 
make each of thefe terms the general term of a feries, and 
write 2, 3, 4, &c. ad inf. for x , we have + O— + r~ + 
See . = (Table 1 .) A + B + C + D + &c. » but + --- + 
&c. an infill ; hence A 4- B+ v +T) 4 - etc* ad ,n. . — 1. 
R r 2 A - 
