2. Exercise Problem I

In which of the following situations, does the list of numbers involved make as arithmetic progression and why? 

 

(i). The taxi fare after each km when the fare is \(Rs.15\) for the first km and \(Rs.8\) for each additional km. 

 

The given situation

 

(ii). The amount of air present in a cylinder when a vacuum pump removes \(\frac{1}{4}\) of the air remaining in the cylinder at a time.  

 

The given situation

 

(iii). The cost of digging a well after every metre of digging, when it costs \(Rs.150\) for the first metre and rises by \(Rs.50\) for each subsequent metre. 

 

The given situation

 

(iv). The amount of money in the account every year, when \(Rs.10000\) is deposited at compound interest at \(8%\) per annum.  

 

The given situation