Multiple choice

Series: –1, 0, 2, 6, 14, 30, … What is the sum of the next four terms?

  1. 1024

  2. 512

  3. 960

  4. 952
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D Correct answer
Explanation

The series follows the pattern x(n+1) = 2*x(n) + 2. The terms are -1, 0, 2, 6, 14, 30. The next four terms are 62, 126, 254, 510. Their sum is 62 + 126 + 254 + 510 = 952.

AI explanation

The pattern follows multiplying the previous term by 2 and then adding 2, as seen in (-1 times 2) + 2 = 0 and (0 times 2) + 2 = 2. The next four terms are 62, 126, 254, and 510, which sum to 952.

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