A student deposits money every week so that the amount forms an arithmetic progression: Rs 120 in the first week, Rs 135 in the second week, Rs 150 in the third week, and so on up to 52 weeks. Answer the following:
a. (i) Express the total amount deposited in 52 weeks as a single expression in summation notation.
b. (ii) Using the expression of part (i), calculate the total amount saved at the end of 52 weeks.