Multiple choice

Which of the following sequences of numbers represents the next four terms of an AP if it has its first term as -7 and the common difference as 2?

  1. -9, -11, -13, -15

  2. -5, -3, -1, 1

  3. -3, -1, 1, 3

  4. -4, -1, 2, 5
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B Correct answer
Explanation

First term a = -7, common difference d = 2. Terms are -7, -7+2=-5, -5+2=-3, -3+2=-1, -1+2=1. The next four terms are -5, -3, -1, 1.

AI explanation

Using the arithmetic progression formula for the nth term, we add the common difference of 2 to the first term to get the next terms. The sequence begins at -7, so the following terms are -7 + 2 = -5, -5 + 2 = -3, -3 + 2 = -1, and -1 + 2 = 1. The next four terms are -5, -3, -1, 1.

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