Multiple choice

What is the 6th term in the sequence 4, 4.5, 7, 11.5,...?

  1. 26.5

  2. 27.5

  3. 28.5

  4. 29.5
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A Correct answer
Explanation

The sequence is 4, 4.5, 7, 11.5. The differences are 0.5, 2.5, 4.5. This is an arithmetic progression of differences with a common difference of 2. The next differences are 6.5, 8.5. Term 5 = 11.5 + 6.5 = 18. Term 6 = 18 + 8.5 = 26.5.

AI explanation

The second differences between consecutive terms are constant, with the differences being 0.5, 2.5, 4.5, 6.5, and 8.5 for subsequent terms. Adding 4.5 to 7 gives 11.5, and adding 6.5 to 11.5 gives 18, making the next difference 8.5. Therefore, adding 8.5 to 18 results in 26.5.

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