A company repays an employee’s arrears of salary in monthly instalments that decrease by Rs 300 each month. The first instalment is Rs 6000, and the total arrears amount to Rs 46500.
(a) Show that the instalments form an arithmetic progression and write its first term and common difference.
(b) Find the number of monthly instalments required to clear the arrears.
(c) Calculate the amount of the last instalment.
(d) Classify this arithmetic progression as finite or infinite and state one reason for your classification.