Multiple choice

Find the 14th term of the given sequence. 2, 5, 10, 17, ...

  1. 197

  2. 198

  3. 199

  4. 201
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A Correct answer
Explanation

The sequence is n^2 + 1 (1^2+1=2, 2^2+1=5, 3^2+1=10, 4^2+1=17). The 14th term is 14^2 + 1 = 196 + 1 = 197.

AI explanation

Looking at the sequence, each term is exactly 1 more than a perfect square. The terms can be written as 1 squared plus 1, 2 squared plus 1, 3 squared plus 1, and 4 squared plus 1. Following this pattern, the nth term is n squared plus 1, so the 14th term is 14 squared plus 1, which equals 196 + 1, resulting in 197.

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