SAT Math Practice Question #3877 - SATify | SATify
#3877
number theory
factorials
Relative Motion
hard
180 sec
If n is a positive multiple of 3, the notation n!!! represents the product of all the positive integers up to n that are divisible by 3. For example, 9!!!=3⋅6⋅9=162. What is the units digit of the following sum? 3!!!+6!!!+9!!!+⋯+2997!!!+3000!!!