16 



Si n rr o^, erit i = A , 



- n zzz i -i-i-xmA + B, 



- n-~l - ^ruA-B + sC, 



-n—2 - (i+x)^ — A + 2B4- 2C-h6D, - 



- n=-2 - ^^-^=:A~2B + 6C — 6D+24E, 



-71=3 - (i_Hx)3zrAH-3BM-6C-^24D^-24E-M20F, 

 . „r:_3 - ^-^3=:A — 3B+12C — 24D-f 120E 



— i2oF-|- 7200^ 



- n z= 4 - (i-i-x)*— :A-f- 4B-i- 12C + 6oD-)- î20E 



+ T 20 F -h 7 20 G -4- 5040 H , 

 , n--j^ - ^^^^ =zA — 4B-h2oC — 60D 4-360E 



— 7 2oF-+~5o4oG— 5040H -+-40320 1, 

 etc. 



§. 3. Jam lesolntio harum aequationum pio litteris 

 A, Bj C, D, etc. sequentes nobis piaebet valores : 

 1). A = 1 . 5), 24Ez=^-^3 

 - 2). B = X , 6). 120 F =:^-^^^, 



3). 20 = ^, 7). 7200 = ^3, 



4). 6D = ^ 



■ a 



etc. 



§. 4. Lex, qua hi valores oïdine progrediuntar, satis 

 est manifesta, dum quilibct terminus prodit, si praecedcns 

 ■vel per x vel per ^ziri multiplicetur. Qjlio observa to sé- 

 ries quaesita sequenli forma expressa reperietiir : 



