Multiple choice

The nth term of the A.P. is $\displaystyle 2n-5$, then the series is :

  1. $-3, -1, 1,....$
  2. $3, 1, -1,...........$
  3. $2,5,8, .........$
  4. $1,7, 13,........$
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A Correct answer
Explanation

For n=1, 2(1)-5 = -3. For n=2, 2(2)-5 = -1. For n=3, 2(3)-5 = 1. The series is -3, -1, 1...

AI explanation

To generate the arithmetic series from the nth term T_n = 2n - 5, substitute the first few natural numbers for n. For n = 1, the first term is 2(1) - 5 = -3; for n = 2, the second term is 2(2) - 5 = -1; and for n = 3, the third term is 2(3) - 5 = 1. This results in the sequence -3, -1, 1, and so forth.

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