Del Sic Paolo Ruffini . 5 



Volendo determinare i termini antepenultimi, faremo 

 n = a ? e l a l° ro somma sarà 



,/(i8-7)(i3-8)(i8-9) - (,8-8)(i8- 9 )(i8-io) Ca , 



34 ( ■ 71 5 H ~3 ó "*" 



(i8-8)(i8- 9 )(i8-io)(i8-ii) gi \ io mJ,_ 

 a. 3.4 / 



,/ (i8-9)(i8-io)...(i8-ia) gl ( 18-9) ( 18- io) . ■ .( i8-i3) g3 \ l5 

 ó ^ I3T4 a. 3. 4. 5 " / 



= 3548967615 X io ia . 



Le serie , e forinole sovraccennate sono le seguenti 



5-- I ==5 3 +3(5°+5^(m-4)54)io 3 +3 a (( w -5)5'^ ( -^^ ) 5 3 ) I o 6 + 



3 3 /( m-6)(w- 7 ) ^ _ + _ (m-7)(w-8) g a _^ (m- 7 )(m-8)(m^ 9 ) g A ^ ^ _^ 

 \ 2 a 2.3 / 



g A / (m-8)(w-9)(w~io) -, _^ (m-8)(m-9)(m-io)(w-ii ) ,- 3 \ I()ia 



\ 2.3 2.3.4 / 



(LXX) 



a5 /(w— 9)....(7n— la) g0 (TO-ro)....(m — 13) ,. 3 (m— io) .... (ro— 14) c ^\ 



01 o h o ■+■ „ ■ ; o^iio ij - 



\ a. 3. 4 a. 3. 4 3.3.4.5 / 



^ (l i( ™—n)....(m—i t J ) ,. (w— ii)....(m— 16) ^ 3 \ io ,j 

 \ a. 3. 4. 5 ° 2.3.4.5.6 / 



ec. 



5 3m =5^3/5 I -4-(w— 3)5 3 ìio 3 -i-3 a /( w — 4)5°h-(/»-S)S»-h ( ì2=!2Ì2ZÌ>54) I0 



g 3 / (w— 6)(w— 7) ., (ro — 6)(m— 7)(ot — 8) ^ 3 \ 9 



(LXXI) ) o a - 3 ' 



V / 3A / (m-7)(m-8)(m- 9 ) 5o | (ra-8) (w- 9 ) (m-io) ga [ ( m-8) .. .. (w-n) - A , 



\ a. 3 a. 3 2.3.4 / 



35 /(m- 9 )...(m- r a) g (n i - 9 )....( m - l S) p\ lolS 



\ a. 3. 4 a. 3. 4. 5 / 



06 / ( m ~ io)--(w— 14) , Q (m— ii)....(m— 15) - 6n— ii)....(7ra— 16) g A [8 

 \ a. 3. 4. 5 " 2.3.4.5 a. 3. 4. 5. 6 / 



ec. 



3an/[ m ~( 3re ' < - a )] (w— 5ra) -, 1>— ( 3re-t-a)] .... [re— ( 5re-t-r ) ] ^A fin 



V 3 . 3 .4 • • ■ • (an— x ) a . 3 . 4 • • • 2» / 



(LXXII)3 a ^'( [w - (5W3: 



ri— (3/z-t-3)] ....[to— (5n-t-a)] - [nt— (3hh-4)] ....[ni— (5b-h3)] 



. 3 . 4 • • • ara a . 3 . 4 • • . ara 



