If a sequence is defined by a_n = 3n + 2, what is a_10?

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Multiple Choice

If a sequence is defined by a_n = 3n + 2, what is a_10?

Explanation:
This asks you to apply the rule for the nth term of a linear sequence. To find the tenth term, plug in n = 10: a_10 = 3(10) + 2 = 30 + 2 = 32. So the value is 32. The sequence steps up by 3 each time, starting from 2 when n = 0, so only 32 comes from applying the rule to the tenth position. The other numbers don’t fit because they wouldn’t equal 3(10) + 2.

This asks you to apply the rule for the nth term of a linear sequence. To find the tenth term, plug in n = 10: a_10 = 3(10) + 2 = 30 + 2 = 32. So the value is 32. The sequence steps up by 3 each time, starting from 2 when n = 0, so only 32 comes from applying the rule to the tenth position. The other numbers don’t fit because they wouldn’t equal 3(10) + 2.

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