Multiple choice

What is the sum of the 8th and 2nd term of the given sequence? 0, 3, 8, 15, 24, 35, …

  1. 58

  2. 62

  3. 66

  4. 72
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C Correct answer
Explanation

The sequence follows the pattern n^2 - 1 for n=1, 2, 3... (0, 3, 8, 15, 24, 35). The 2nd term is 3 and the 8th term is 8^2 - 1 = 63. The sum is 3 + 63 = 66.

AI explanation

The sequence follows the pattern (n2 - 1), which can be verified by checking that (1)2 - 1 = 0, (2)2 - 1 = 3, and (3)2 - 1 = 8. The second term is (2)2 - 1 = 3, and the eighth term is (8)2 - 1 = 63. Adding these two terms gives the result 3 + 63 = 66.

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