In the sequence a_n = 5n - 2, what is the 12th term?

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Multiple Choice

In the sequence a_n = 5n - 2, what is the 12th term?

Explanation:
The main idea here is that to find the nth term of a linear sequence given by a_n = 5n - 2, you substitute the position n into the formula. For the 12th term, plug in n = 12: a_12 = 5(12) - 2 = 60 - 2 = 58. So the 12th term is 58. The other values don’t fit as a term with a whole-number position in this sequence because solving 5n - 2 = 56, 60, or 62 yields non-integer n, so those numbers aren’t terms of this sequence at integer indices.

The main idea here is that to find the nth term of a linear sequence given by a_n = 5n - 2, you substitute the position n into the formula. For the 12th term, plug in n = 12: a_12 = 5(12) - 2 = 60 - 2 = 58. So the 12th term is 58. The other values don’t fit as a term with a whole-number position in this sequence because solving 5n - 2 = 56, 60, or 62 yields non-integer n, so those numbers aren’t terms of this sequence at integer indices.

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