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Name the rule for this sequence: 27, 21, 15, 9, 3, ...

A. Arithmetic Sequence
B. Geometric Sequence
C. Fibonacci Sequence
D. Quadratic Sequence

1 Answer

7 votes

Final answer:

The sequence 27, 21, 15, 9, 3 is identified as an Arithmetic Sequence because each term is found by subtracting 6 from the previous term. Therefore the correct answer is A. Arithmetic Sequence.

Step-by-step explanation:

The rule for the sequence 27, 21, 15, 9, 3 is an Arithmetic Sequence. In an arithmetic sequence, each term is found by adding a constant number, called the common difference, to the previous term. Observing our sequence:

  • 27 to 21 (27 - 21 = 6)
  • 21 to 15 (21 - 15 = 6)
  • 15 to 9 (15 - 9 = 6)
  • and 9 to 3 (9 - 3 = 6)

We see that the common difference is -6. Therefore, each term is 6 less than the previous term, identifying it as an arithmetic sequence. Therefore the correct answer is A. Arithmetic Sequence.

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