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Write a rule for the sequence. 3,-3,-9,-15

A. start with 3 and add -6 repeatedly
B. start with -6 and add 3 repeatedly
C. start with 3 and add 6 repeatedly
D. start with 3 and subtract -6 repeatedly

User Martinaut
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Final answer:

The sequence 3, -3, -9, -15 decreases by 6 each time and the correct rule is 'start with 3 and add -6 repeatedly'. Therefore, the correct answer is option A. start with 3 and add -6 repeatedly.

Step-by-step explanation:

The student is asking for a rule that can be applied to generate the sequence 3, -3, -9, -15. This sequence is decreasing by 6 each time. We can determine the correct rule by evaluating how the sequence progresses from one term to the next. Clearly, each term after the first is obtained by subtracting 6 from the previous term, which can be restated as adding -6.

The correct rule for this sequence is Option A: start with 3 and add -6 repeatedly. This rule reflects the consistent change between terms in the sequence.

Examples to demonstrate:
First term: 3
Second term: 3 + (-6) = -3
Third term: -3 + (-6) = -9
Fourth term: -9 + (-6) = -15

User Vikas Sardana
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