Ben exercises every 12 days and Isabel every 8 days. Ben and Isabel both exercised today. How many days will it be until they exercise on the same day again?

24 days

Step-by-step explanation:

First, we need to determine the Lowest common multiplier(LCM) of both days.

Given that;

Ben exercise for 12 days ,

Isabel exercise for 8 days

Hence, the LCM of both days is

12 = 2 × 2 × 3

8 = 2 × 2 × 2

Therefore,

LCM = 2 × 2 × 2 × 3 = 24.

It will take both Ben and Isabel 24 days to exercise on the same day again

right

step-by-step explanation:

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.