A I.' -}") 



r. The continued tYurtions 



4.1 1 1 9+i 1 l 



8+8+ 8+... ' 4+4+4+...' 

 o n quotients, are in the ratio 2:1. 



208. Having expressed J(n* + a) as a continued fraction 



in the form n + pr- , is the r tb convergent; 



'In + In + ... g r 



prove that 



209. Prove that 



n n-1 n-2 2 1 ln+l 



210. Prove that the value of the infinite continued fraction 



1 2 3 1 



1 + 2 + 3 + ... 18 c-T 



J 1 1 . Any two consecutive terms of the series 



,,,- 



satisfy the equation 



_(m-l) 

 a -*'~ 2S^i 



'ins of. a,; and prove -n n is incKfinitoly 



ased, the limit of a i a f "' Vi i a ,. 



L' 1 '2. Prove that 



r(r^l) 



n terms 



r(r^l)r(r^l) 

 v ' 1 ^ J . . . to 



_r(r^ir i -h(r^l)(~. 



