Multiple choice

By how much does each term change in the series 54, 51, 48, 45, 42, ...?

  1. Each term is decreased by 1

  2. Each term is decreased by 2

  3. Each term is decreased by 3

  4. Each term is decreased by 4

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C Correct answer
Explanation

The series is an arithmetic progression with a common difference of 51 - 54 = -3. Each term is obtained by subtracting 3 from the previous term.

AI explanation

To find the change between terms, calculate the difference between consecutive numbers in the sequence. Subtracting 51 from 54 gives 3, and subtracting 48 from 51 also gives 3. Since every term is reduced by 3 to get the next term, the result is that each term is decreased by 3.