1. Write a rule for the sequence.
3,-3,-9,-15....
Start With 3 and add -6 repeatedly <---- This one
Start with -6 and add 3 repeatedly
Start with 3 and add 6 repeatedly
Start with 3 and subtract-6 repeatedly
2. Find the next three terms of the sentence.
-6 -24 -96 -384
A -768 -1536 -3072
B -768 -3072 - 12288
C -1536 - 6144 -24576 <--- This one
D -1536 9216 3684
both are correct
1. The rule for the sequence 3,-3,-9,-15.... is to start with 3 and subtract 6 repeatedly.
2. To find the next three terms of the sequence -6,-24,-96,-384, the pattern is multiplying each term by -4. So, the next three terms would be -1536, -6144, -24576. The correct option is C.
To write a rule for the sequence 3, -3, -9, -15..., you can see that each term is obtained by subtracting 6 from the previous term. So, the rule for this sequence is "Start with 3 and add -6 repeatedly".
To find the next three terms of the sequence -6, -24, -96, -384..., you can see that each term is obtained by multiplying the previous term by -4. So, to find the next term, you would multiply -384 by -4, which gives you 1536. Similarly, to find the subsequent terms, you would continue multiplying the previous term by -4. Therefore, the next three terms of the sequence are -1536, -6144, -24576.
So, the correct answer is C -1536, -6144, -24576.