[ 48 ] 



n. n — I - /'tow terms 



The G-eneral w'''. term is + -"— /, n—i m a 



° ~ \. z. - m 



+ when m is even 7 j r i r ~ > * . , 



J- and n of the form 4/ + i. 



— when m is odd J 



+ when m is odd 7 ^ , ^ 



\ and « of the form 4/> + 3. 



— when m is even j 



2. When n is any even number. 



" -.«— ' _ n 



■^ = i' X -Vcsna + ti.cs n — 2 a + &c. (to - terms) + 



n— I 



■^ X ft. n — I. n-^2 - 4« terms «,, r' ^ t 1 



^ : _ . The upper figns take place 



2. I. 2. 3 - - in 



when « is of the form 4/), and the lower when of the form 2/», p 



being any odd number. The m'^'. term is 



+ n. n — r - (z« terms 



— cs n — 2 m a 



I. 2. 3 - (w terms) 



^ X and n of the form 2^, /> being odd. 



— when 711 is even 3 



4. when m is even 7 



, , c and « of the form 4 />. 



when m is odd 



»— 1 



Dem. Let Oj^ a quadr. then (VI) cs. Q,— 'J = 17 x <^J-». O— <* 



;z. « — I. - to m terms 



4. &c. and the general m'K term is 



1.2. -5 - m terms 



cs n — 2 772. Cy—a. 



I. ift 



