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What makes a sequence an arithmetic sequence?
AA constant is added each time
BA constant is used to multiply
CThe terms are always positive
DThe terms always get larger
Answer & Solution
Correct answer: A. A constant is added each time
1. Take any term of the sequence and look at how the next one is produced from it.
2. In an arithmetic sequence the same constant is added each time, and that constant is the common difference.
3. The constant may be negative, in which case the terms fall rather than rise.
4. Multiplying by a constant instead would build a geometric sequence.
_Source: Siyavula Mathematics Grade 12 (Everything Maths, CC BY 4.0), Chapter 1: Sequences and series_
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