[ 292 ] 
t, , m m — i lz . jn rn — i ?n — 2 m — 3 , K 
R=i +:X — i‘4-;X — X — X-^i' 
2 4 
4 
+ ; X=fi X— X^X’-^X^ ! ** + , &c. 
224 4 t> o 
cujus feriei progrefiio fatis patet; atque adeo, cum 
fit in hoc noftro problemate m — — 2:> erit 
R= 1 + — ^ + — Xr^/ 5 4 + — X5--5 
1 4x4 ‘,4x4 8x8 1 4x4 8X6 
11x13 /6 . 3x5 7 XQ IIX13 HXI7„ , c 
x rrrrr. b 4- ttt: X 3-rj x rrr-r^ x -ttttt. h + > &c - 
3 x 5 _ 7 x 9 
3 * 5.. 7 *9 
12 x 12 
4x4 8.x8 12x12 10x1b 
Infpicienti indolem hujus feriei patebit terminum 
quemiibet a^quari tennino antecedent! du&o in 
f+ixr — 1 ix r r * 
b % five - — ~b z , r exiftente aequali nu- 
mero quadruplicato terminorum. prsecedentium : fic, 
terminus fextus, quia habetur in hoc cafu r = 5X4 
= 20, tequalis eit termino quinto fbx 10 
duCto m — b . i 
20 x 20 
Termino igitur quovis hujus feriei didto B, ter- 
r * j 
minus fubfequens erit Bb z x — ^ — : et manente de- 
inceps eodem, quern in hcc termino habet, numeri r 
p 2 - j 
valore, termini fubfequentes erunt, B b* X — p — 
— 1 r + 4^ — r r + 8)* — r 
-r- X-^_— X 
x ^t£r' , b* x 
+"8) 3 
r + 4I 2 
By X r -=~— ■■■■ ■■ &c. Sedefti=a = 
r" 7 Ti 2 \* ' 
J _ r + c | —1 
1 — r « 
— = i <— rr— 6cc. et fi fuerit r 
numerus 
