Answer:
<em>24, 48, 72, 96</em>
Step-by-step explanation:
<u>Least Common Multiple (LCM)</u>
It's the smallest positive number that is a multiple of two or more numbers. For example, let's find the LCM of 15 and 25:
Multiples of 15: 15,30,45,60,75,90,...
Multiples of 25: 25,50,75,100,...
Note 75 is a common multiple of both and is also the smallest possible.
Lin puts a snowflake sticker every 6 lockers and a snowman sticker every 8 lockers. To find the lockers where both stickers are places, we must find the LCM of 6 and 8:
6 = 2*3
8 = 2*2*2
Multiplying the common factors the maximum number of times it appears:
LCM = 2*2*2*3 = 24
Thus, every 24 lockers there are two stickers until Lin reaches the last 100th locker along the halfway.
The sequence of lockers is:
24, 48, 72, 96
