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Analyze the sequence and identify if it is arithmetic or geometric? { - 1, 3, 7, 11, 15} *

User Hilikus
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Final answer:

The sequence {-1, 3, 7, 11, 15} is an arithmetic sequence because each term increases by a consistent difference of 4.

Step-by-step explanation:

To determine whether the sequence \{-1, 3, 7, 11, 15\} is arithmetic or geometric, we need to analyze the differences or ratios between consecutive terms.

For an arithmetic sequence, the difference between consecutive terms is consistent. For example:

  • 3 - (-1) = 4
  • 7 - 3 = 4
  • 11 - 7 = 4
  • 15 - 11 = 4

Since each term is increasing by the same difference of 4, this sequence is indeed an arithmetic sequence.

In a geometric sequence, the ratio between consecutive terms is consistent, which is not the case here.

User Gyorgy
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