Multiple choice

The nth term of the sequence 2, 5, 8, .......is

  1. 3n + 2

  2. n2 + 1

  3. 3n - 1

  4. None of these
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C Correct answer
Explanation

The sequence is an arithmetic progression with first term a = 2 and common difference d = 3. The nth term is a + (n-1)d = 2 + (n-1)3 = 2 + 3n - 3 = 3n - 1.

AI explanation

The sequence follows an arithmetic progression with a first term of 2 and a common difference of 3. The nth term of an arithmetic progression is given by the formula a + (n - 1)d, where a is the first term and d is the common difference. Applying this formula, we get 2 + (n - 1)3, which simplifies to 2 + 3n - 3 and results in 3n - 1.

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