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

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Multiple Choice

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

Explanation:
Use the sum formula for an arithmetic series. The nth term is an = a1 + (n−1)d. With a1 = 2 and d = 3, the 5th term is a5 = 2 + 4×3 = 14. The sum of the first five terms is S5 = 5/2 × (a1 + a5) = 5/2 × (2 + 14) = 5/2 × 16 = 40. You can also add the terms directly: 2, 5, 8, 11, 14 sums to 40. Therefore, the sum is 40.

Use the sum formula for an arithmetic series. The nth term is an = a1 + (n−1)d. With a1 = 2 and d = 3, the 5th term is a5 = 2 + 4×3 = 14. The sum of the first five terms is S5 = 5/2 × (a1 + a5) = 5/2 × (2 + 14) = 5/2 × 16 = 40. You can also add the terms directly: 2, 5, 8, 11, 14 sums to 40. Therefore, the sum is 40.

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