8 Jay Leno purchases 3 new cars for his collection at the en

8. .Jay Leno purchases 3 new cars for his collection at the end of every month. Let a denote the number of cars lie has at the end of the nth month. Let a0 = 23. (a) What is ag? (b) At the end of each month, Jay Leno must pay $50 in maintenance costs for each car lie has owned for that entire month. This does not count any cars purchased at the end of the month. How much must he pay in maintenance at the end of the 8th month? (c) Under the same assumptions as Part (b). how much does Jay Leno pay to maintain his cars in total through the end of the 2nd year? Express this in summation notation and as an exact number.

Solution

n = 8 ; a = a0 = 23 ; d = 3 ; T8 = a8

a) . Tn = a + ( n - 1) d = T8 = 23 + (8-1) * 3 = 23 + 7 * 3 = 23 + 21 = 44