Assume that OCMT offered you a position for 21 months as per the following options: 1- You will be paid 100 RO for the first month and an additional 50 RO per month after that. OR: 2- You will be paid 100 baisa for the first month, and to be doubling every subsequent month. As you are expected to select the option with the largest income, which option will you take? Note that: to solve this problem you need to apply the concept of the recurrence relation and its solution to identify the overall income for both options.