-^ AN EXAMINATION OF SOME QUESTIONS 



and in a similar manner, we may find that which arises from 

 the fourth is expressed by 



The mode of continuation is sufficiently obvious, and by ar- 

 ranging all these profits together, we have 



«{(-l)"} 



&c. &c. 



The part which depends on u is easily determined to be 

 (p — q) u, where p and q are the number of successful and of 



unsuccessful cases, the remaining part consists of — - multi- 



plied by a function of the quantities a, b, c, &c. In order to 

 abridge as much as possible, I shall write a instead of ( — 1)% 

 b instead of ( — 1)\ and so on j so that a b will represent 



(-i) fl x 



