^.6o MiMOIRES DE L*AcAPiMI£ ROYALE 

 On aura doiic 



8 ^^ 8 ^^ 8 ^^ ^ r 



•— - fco[. 2 ^ -t- cof. 4 ^ -1- cof. 6 ^ -t_ . . . _|_ cof. 2 n q) 



p-{- -^ (^cof. 4 ^ -+- cof. 8 ^ -H cof. 1 2 ^ H- . . . -+- cof. /^nq) 

 équation qui devient , en fommant chaque fuite particulière , 



ç. 3 » I cof. 2 ? [ fin. inij -\- fin, 2 ( t -t- ^ ) q — fin. 2 y ] 



co 



f. 4^ 



fin. 4-^ 

 [ fin. 4 » 7 -•- fin. 4. ( n -\- \ ) q — fin. 4 <7 ] 



fin, 8f 

 ïC, C. /•, T. 



PROBLEME VIII. 



( p. ) Sommer la fuite S = cof. ^* h- cof. 2 ^* -j— 

 cof. 3 ^■^ -4- cof. 4^* -j- . . , , -H cof. nq^I, 



Solution. 

 On a (théorème VII), 



r 4 3 cof. î .7 cof. 4 *• ' 



cof. ^* ZZZ -^ -4— H ^-^ * 



/.A 5 cof. 4 17 cof. 8 q 



cof. 2/ = -f -H — ±^ H ^, 



cof. 3^* =: -î- -H -'"^-'^ -4- ii^'ll-; 

 ,^^ 8^^»^^ 8' 



3 cof. 8 ^ cof. I 6 q 



cof. 4/ = -|- -H 



8 



cof. «y* =: ^ f- 



Ainfi on aura 



cof. 4 ?iq 



' 8 ' 



r 3 * . ' ,• ffin- » "1 -I- fin. » /» -t- i) q — fin. 2 o] 



O = — H cof. 2 q wi i i i-i i- 



fin, 4 7 



