Multiple choice

Find the 8th term of the given sequence. -1, 2, 7, 14, 23, …

  1. 61

  2. 62

  3. 63

  4. 64
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B Correct answer
Explanation

The sequence is -1, 2, 7, 14, 23. The differences are 3, 5, 7, 9. This is a quadratic sequence where the n-th term is n^2 - 2. The 8th term is 8^2 - 2 = 62.

AI explanation

The differences between the consecutive terms are 3, 5, 7, and 9, showing that the next difference will be 11. This means the sequence follows a pattern where the nth term is given by n squared plus 2n minus 4. To find the 8th term, we calculate 8 squared plus 2 times 8 minus 4, which simplifies to 64 + 16 - 4, resulting in 62.

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