Multiple choice

What is the fifth term of the arithmetic sequence $2,$ _, $8$, _, _, ...?

  1. $5$
  2. $11$
  3. $13$
  4. $14$
  5. $15$
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D Correct answer
Explanation

The sequence is 2, _, 8, _, _, ... Assuming arithmetic, common difference d = (8-2)/2 = 3. Sequence: 2, 5, 8, 11, 14. The fifth term is 14.

AI explanation

In the given arithmetic sequence, the difference between the first term and the third term is 8 - 2 = 6. This 6 represents two common steps, so the common difference is 6 divided by 2, which is 3. The fifth term is calculated as the first term plus four common differences: 2 + 4(3) = 14.

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