In this section, we shall discuss about the everyday application related with the arithmetic sequences and arithmetic series.

Example:
            Tickets for a certain show were printed bearing numbers from  to. Odd number tickets were sold by receiving cents equal to thrice of the number on the ticket while even number tickets were issued by receiving cents equal to twice of the number on the ticket. How much amount was received by the issuing agency?
Solution:
            Let  and  be the amounts received for odd number and even number ticket respectively, then
             and
            Thus,
                         There are  terms in each series
                       
Hence the total amount received by the issuing agency  cents   

Example:
            A clock strikes once when its hour hand is at, twice when it is at  and so on. How many times does the clock strike in six hours?
Solution:
            Since the clock strikes once when its hour hand is at, twice when it is at  and so on, so the sequence of strikes from hour to hours is.
            Here , ,  so
                       
                            
            This shows that the clock strikes times inhours.

Example:
            A factory owner repays his loan of  by  in the first monthly installment and then increases the payment by  in every installment. In how many installments he will clear his loan?
Solution:
            By the given conditions, we have
            , ,
                       
                       
                       
                       
                       
                       
                                
                                
                       
            Now , being the number of installments, cannot be negative, so . This shows that the factory owner will clear his loan in monthly installments.