Find the next three terms of the sequence -6, -24, -96, -184
A. -768, -1,536, -3,072
B. -768, -3,072, -12,288
C. -1,536, -6,144, -24,576
D. -1,536, -9,216, -36,864
I think you have a typo
if the sequence had been : -6, -24, -96, -384
each new term would be 4 times its previous.
If that is the case, I see that answer
frustrating typos
it was a typo, thank you very much
WHAT ARE THE DAWM ANSWER TO THE TEST Lesson 10: Patterns and Rules Unit Test CE 2015
Math 7 B Unit 3: Patterns and Rules
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(β₯οΉβ₯)
To find the next three terms of the sequence, we need to figure out the pattern or rule that generates the sequence. Let's examine the differences between consecutive terms:
First difference: -24 - (-6) = -18
Second difference: -96 - (-24) = -72
Third difference: -184 - (-96) = -88
Looking at the differences, we can see that the pattern seems to be the second difference is decreasing by a constant amount of 6. Therefore, we can continue the pattern by subtracting 6 from the third difference (-88) to get the fourth difference (-94), and then subtracting 6 from the fourth difference to get the fifth difference (-100), and so on.
Now, let's find the next three terms using the pattern:
Fourth difference: -94
Fifth difference: -100
Sixth difference: -106
To get the next term, we add the sixth difference (-106) to the last term of the given sequence (-184):
-184 + (-106) = -290
So, the next term is -290.
Similarly, we continue the pattern to find the next two terms:
-290 + (-94) = -384
-384 + (-100) = -484
The next three terms of the sequence are -290, -384, -484.
Therefore, the correct option is D. -1,536, -9,216, -36,864.