Multiple choice

If the first term of the sequence is 2 and common difference is 1, find the nth term of the sequence.

  1. n + 1

  2. n

  3. n + 1 - a

  4. n - 1
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A Correct answer
Explanation

Arithmetic sequence formula: a_n = a + (n-1)d. Here a = 2, d = 1. a_n = 2 + (n-1)1 = 2 + n - 1 = n + 1.

AI explanation

Using the formula for the nth term of an arithmetic progression, we calculate a + (n - 1)d. Substituting the first term a = 2 and the common difference d = 1 gives 2 + (n - 1)(1). Simplifying this expression yields 2 + n - 1, which equals n + 1.

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