Multiple choice

Find the nth term of the given sequence. 9, 16, 25, 36, 49, …

  1. 2n2 - 1 + 4n

  2. n2 + 4n + 4

  3. n2 - 3n + 2

  4. n2 + 1 + 2n
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B Correct answer
Explanation

The sequence is 9, 16, 25, 36, 49, which are squares of 3, 4, 5, 6, 7. This is (n+2)^2 = n^2 + 4n + 4.

AI explanation

The sequence consists of perfect squares starting from 3 squared, meaning the nth term can be expressed as (n + 2) squared. Expanding this algebraic identity yields n squared plus 4n plus 4. You can verify this by checking the first term: 1 squared plus 4 times 1 plus 4 equals 9.

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