COMPUTATION OF SQVARES AND CUBES, 



II II 11 II II 



1. t t. "u n, 

 + + + + 



Computation of 

 fquares and 

 cubes. 



9U 



»£?• 



% 



If therefore we make en 1, the third difference will be 

 conftantly 6, and the fecond difference will become Sx-f- 18, 

 6x -f 12, 6x'\-6 ; fo that if any three numbers be taken in 

 an arithmetical feries (in which azz\), the fecond difference 

 of their cubes w^ill be conflantly fix times the middle number. 



For the fake of example, we may apply thefe obfervations 

 to the continuation of Mr. Councer's cubes. We may confider 

 26559; 26560, 26-561, as part of an arithmetical feries: by 

 the table we could find the difference of the cubes of 26559 



and 



