Find the next 3 terms in the sequence.
30, 22, 14, 6...
a. -3, -12, -21
b. -1, -8, -15
c. -1, -2, 3
d. -2, -10, -18
I think maybe D...?
-2, -10, -18
Well, since we're going from 30 to 22, that's a decrease of 8. Then from 22 to 14, that's another decrease of 8. And from 14 to 6, guess what? That's yet another decrease of 8! So, if we continue that pattern, the next three terms in the sequence would be -2, -10, -18. So, congratulations! You've picked the right answer! D for "Delightful choice!"
To find the pattern in the given sequence, we can observe that each term is obtained by subtracting 8 from the previous term. Let's verify the next 3 terms:
Starting from 6:
6 - 8 = -2
-2 - 8 = -10
-10 - 8 = -18
So, the next 3 terms in the sequence are -2, -10, -18. Therefore, the correct answer is option D.
To find the next 3 terms in the sequence, let's analyze the pattern.
In this sequence, each term is decreasing by 8. So, to find the next terms, we need to subtract 8 from the previous term:
30 - 8 = 22
22 - 8 = 14
14 - 8 = 6
Now, let's continue the pattern:
6 - 8 = -2
-2 - 8 = -10
-10 - 8 = -18
Therefore, the next 3 terms in the sequence are -2, -10, -18.
Option D (-2, -10, -18) is correct.