[ 88 ] 
Purfuing the method laid down in the pre- 
ceding problem, the fum of the feries here given 
will appear to be ‘ (being the fame 
I — r\ 
with t he fquare of the geo metrical progreflion 
X and the /th power 
thereof, by making n^zt, and w == + i . will 
therefore be given = x i — x = 
' — nr 
.w — tv 
■' 4 - - 
r» 2 I 2 2 
multiplied into 
Which feries being the fame with thofe in the 
preceding problem (excepting only that the expo- 
nents of the former of them are expreffed in terms 
of ty inltead of «), it is plain, therefore, that if q be 
made=/D + m (inftead of nu-t-m), the conclufon, 
there brought out, will anfwer equally here ; fo that 
the furn of all the chances whereby the excefs of 
the pontive errors above the negative ones, can 
amount to a given number w, predfely, will be truly 
reprefented by ^ 
+ J-— •— (y)xr« 
+ {q—iw) X r" 
n K-f~x n -\-2 
i 2 
C^c. 
4 
But 
