In the arithmetic progression with a1 = 2 and d = 3, what is a3?

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Multiple Choice

In the arithmetic progression with a1 = 2 and d = 3, what is a3?

Explanation:
The main idea is using the arithmetic progression rule where each term increases by a constant difference. With a1 = 2 and the common difference d = 3, the third term is found by a3 = a1 + (3−1)d = 2 + 2×3 = 8. You can see this by stepping from the start: a2 = 2 + 3 = 5, then a3 = 5 + 3 = 8. So the third term is 8, which matches the correct choice. The other numbers correspond to other terms: 5 is the second term, 11 is the fourth term, and 14 is the fifth term.

The main idea is using the arithmetic progression rule where each term increases by a constant difference. With a1 = 2 and the common difference d = 3, the third term is found by a3 = a1 + (3−1)d = 2 + 2×3 = 8. You can see this by stepping from the start: a2 = 2 + 3 = 5, then a3 = 5 + 3 = 8. So the third term is 8, which matches the correct choice. The other numbers correspond to other terms: 5 is the second term, 11 is the fourth term, and 14 is the fifth term.

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