9) Mrs. P likes to watch her favorite TV Ad for fun. On Channel A, the advertisement plays every 18 minutes. On Channel B, the advertisement plays every 24 minutes. Both TV channels are currently playing the advertisement at 1:00pm. When is the next time both channels will play the advertisement at the same time? *

step-by-step explanation:

0

a is the right answer

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for