A Silicon Valley billionaire purchases 3 new cars for his collection at the end
ID: 3595418 • Letter: A
Question
A Silicon Valley billionaire purchases 3 new cars for his collection at the end of every month. Let a_n denote the number of cars he has after n months. Let a_0 = 23.
a) What is a_8 ?
b) If he pays $50 each month to have a car maintained, how much does he pay for maintenance after 2 years? No need to calculate the actual number. Instead give a closed form (without the summation) mathematical expression for the number. Note that he purchases the new car at the end of each month, so during the first month, he is only maintaining 23 cars.
Explanation / Answer
a)
a_0 = 23
a_8 => 8*3 + a_0 => 24 + 23 => 47
a_8 = 47
b)
a_0 = 23
a_1 = 3 + 23
.
.
a_24 = (24*3 + 23) * 50
a_n = (n*3 + 23) * 50 -> for nth month