Summation of Series 397 
¥ pus A Bie 
ie °~* _4 &c.; whence the fum of any feries, whofe 
arw+e, “orw+r--e 
™m + [—T : 
w thw + &c. ‘ 
mae a er Oe ee berey mais 
Qrwtre.2wt+rpe... Qrwtur+te 
whole number lefs than x by two or more, and w the diftance 
from the firft term-of the feries can be found from the fum of 
general term is 
° 3B, IT 
Peete ES Se ae ct 
é am Dre beat 4. G 
g. Let:there: be two feriefes —+- Syd 4 oc, nS. aad, 
e+r  e+a2r 
a T 7 
& sign! Fea) Para tate ’, whofe general terms are re= 
f{pectively Pas and = re ; then from the fum of thefe two 
feriefes can be colleéted the fum of any feries, whofe general 
term is 
ee ae beac, ' 
re-eretetr.retet 2r...retn-irpexratf.retr+fe..1etfbm-ir 
SL] ee ¢ a a’ bY 
ca ee aay LOR Ur ald aia mega De eae ‘ 
cl i Ae a 
——__.,, +-__#____; wheree — fis not awhole num-. 
1B + 2r-+f ; rom ir fp" wher ae 
ber. Leta+d+te.. ta=o, and a’+é’+c'...--wi=o, then: 


ecmemile (tat aa 
eee a at eee ee 
Gems) 8! Aaa ary YER) 
a= ae +e) he. | 
2, If the feriefés are or ae “Tr li ie 
“~ &c.: then from the fum of thefe two feriefes can be collected 
by the principles given above the fam of any ee whofe 
general term is 
2, OZ. 
