Multiple choice

The nth term of a sequence is given by the expression 2n2 + 4. Find the first four terms of the sequence.

  1. 6, 10, 18, 24

  2. 6, 10, 14, 18

  3. 6, 12, 22, 36

  4. 6, 12, 18, 24
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C Correct answer
Explanation

For n=1, 2(1)^2 + 4 = 6. For n=2, 2(2)^2 + 4 = 12. For n=3, 2(3)^2 + 4 = 22. For n=4, 2(4)^2 + 4 = 36.

AI explanation

To find the first four terms of the sequence, substitute n = 1, 2, 3, and 4 into the given expression 2n^2 + 4. For n = 1, the term is 2(1)^2 + 4 = 6; for n = 2, the term is 2(2)^2 + 4 = 12. Continuing this, the third term is 2(3)^2 + 4 = 22 and the fourth term is 2(4)^2 + 4 = 36. The first four terms are 6, 12, 22, 36.

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