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Last year, Newberg Hardware ordered 121 hammers in January, 137 hammers in February, 153 hammers in March, and 169 hammers in April. What kind of sequence is this?

Answer :

The sequence of hammers ordered by Newberg Hardware forms an arithmetic sequence, where each term increases by a constant difference of 16.

The question is asking what kind of sequence the order of hammers represents when Newberg Hardware ordered 121 hammers in January, 137 in February, 153 in March, and 169 in April. By looking at the difference between the numbers, we can determine the pattern. The differences are as follows:

  • 137 - 121 = 16
  • 153 - 137 = 16
  • 169 - 153 = 16

The sequence increases by 16 hammers each month, which is consistent. Therefore, this is an example of an arithmetic sequence, where each term after the first is found by adding a constant, known as the common difference, to the previous term.

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