What is the average of the first five terms of the arithmetic sequence with a1 = 2 and d = 3?

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Multiple Choice

What is the average of the first five terms of the arithmetic sequence with a1 = 2 and d = 3?

Explanation:
In an arithmetic sequence, the average of an odd number of consecutive terms equals the middle term. The first five terms are 2, 5, 8, 11, 14; the middle one is the third term, which is a3 = a1 + 2d = 2 + 2·3 = 8. So the average is 8. You can also check by summing and dividing: (2 + 5 + 8 + 11 + 14) / 5 = 40 / 5 = 8.

In an arithmetic sequence, the average of an odd number of consecutive terms equals the middle term. The first five terms are 2, 5, 8, 11, 14; the middle one is the third term, which is a3 = a1 + 2d = 2 + 2·3 = 8. So the average is 8. You can also check by summing and dividing: (2 + 5 + 8 + 11 + 14) / 5 = 40 / 5 = 8.

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