Write the first five terms of the arithmetic sequence with first term 17 and common difference -3.
A{17, 20, 23, 26, 29}
B{17, 13, 9, 5, 1}
C{-3, 14, 11, 8, 5}
D{17, 14, 11, 8, 5}
Answer & Solution
Correct answer: D. {17, 14, 11, 8, 5}
1. Begin at the first term, 17.
2. Adding -3 is the same as subtracting 3, so the second term is 17 - 3 = 14.
3. Continuing gives 14 - 3 = 11, then 11 - 3 = 8, then 8 - 3 = 5.
4. The first five terms are {17, 14, 11, 8, 5}.
5. Subtracting 4 each time would give {17, 13, 9, 5, 1}, so misreading the size of the step is the trap here.
_Source: OpenStax Algebra and Trigonometry (CC BY 4.0), Ch 13 "Sequences, Probability and Counting Theory", section 13.2 Arithmetic Sequences_
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