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In an arithmetic sequence of real numbers, the first term is 7 and each term after the first is 4 more than the preceding term. What is the value of the 10th term?
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Correct answer
D
In an arithmetic sequence the nth term equals the first term plus (n − 1) times the common difference. Here the first term is 7, the common difference is 4, and n is 10, so the 10th term is 7 + 9 × 4 = 7 + 36 = 43. The key is that going from the 1st term to the 10th takes 9 steps, not 10. So the answer is D.
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