If a shell can hold a maximum of 32 electrons, what is the value of n?

In my textbook it says that the maximum number of electrons that can fit in any given shell is given by 2n². Which would mean 2 electrons could fit in the first shell, 8 could fit in the second shell, 18 in the third shell, and 32 in the fourth shell. However, I was previously taught that the maximum number of electrons in the first orbit is 2, 8 in the second orbit, 8 in the third shell, 18 in the fourth orbit, 18 in the fifth orbit, 32 in the sixth orbit. I am fairly sure that orbits and shells are the same thing.