What is the average of the first and sixth term of the progression with a1 = 3 and a6 = 15?

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Prepare for the AMSOC 26-003 Module A Test. Utilize flashcards and multiple choice questions with hints and explanations. Ace your exam!

Multiple Choice

What is the average of the first and sixth term of the progression with a1 = 3 and a6 = 15?

Explanation:
In an arithmetic progression, terms increase by a constant amount, so the average of the endpoints is just the mean of those two values. Compute (a1 + a6) / 2 = (3 + 15) / 2 = 9. The common difference can be found as (15 − 3)/5 = 12/5, but it isn’t needed for this average. The result is 9.

In an arithmetic progression, terms increase by a constant amount, so the average of the endpoints is just the mean of those two values. Compute (a1 + a6) / 2 = (3 + 15) / 2 = 9. The common difference can be found as (15 − 3)/5 = 12/5, but it isn’t needed for this average. The result is 9.

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