Answer: 2, 4, 8, 7, 5, 1, 2, 4, 8, 7, 5
Step-by-step explanation:
We know that the repeated patern is:
2, 4, 8, 7
Now, let's analyze the pattern:
2 + 2 = 4
so after 2 comes 4
4 + 4 = 8
and after 4 comes 8, so this metod has sense.
8 + 8 = 16
but after 8 comes 7, but you can see that 8 + 8 = 16, and 1 +6 = 7, so we now have a system to find the 11 first terms, if the addition of the previous number is a one digit number, then that is the therm, if the addition of the previous term is a two digit number, we need to add up the digits and that will be the term.
2
2 + 2 = 4
4 + 4 = 8
8 + 8 = 16, 1 + 6 = 7
7 + 7 = 14. 1 + 4 = 5
5 + 5 = 10. 1 + 0 = 1
1 + 1 = 2
2 + 2 = 4
4 + 4 = 8
and is easy to see that the pattern repeats:
so the first 11 terms are: 2, 4, 8, 7, 5, 1, 2, 4, 8, 7, 5
