Multiple choice

If the nth-term of the an A.P series is 3n - 1, then the series is

  1. 2, 5, 8, .....

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

  3. 2, 5, 9, ........

  4. 1, 2, 4,.......
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A Correct answer
Explanation

The nth term is given by a_n = 3n - 1. For n=1, a_1 = 3(1)-1 = 2. For n=2, a_2 = 3(2)-1 = 5. For n=3, a_3 = 3(3)-1 = 8. The series is 2, 5, 8, ...

AI explanation

To find the series from the nth term formula T_n = 3n - 1, substitute n = 1, 2, and 3 to find the first three terms. For n = 1, the term is 3(1) - 1 = 2; for n = 2, the term is 3(2) - 1 = 5; and for n = 3, the term is 3(3) - 1 = 8. This produces the series 2, 5, 8, and so on.

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