alleryStart learning →In a geometric sequence, how is each new term obtained from the term before it?
AIt has a constant added to it
BIt is multiplied by a constant
CIt is squared every single time
DIt is halved every single time
Answer & Solution
Correct answer: B. It is multiplied by a constant
1. A geometric sequence grows or shrinks by the same factor at every step.
2. That factor is found by dividing any term by the term before it, and it is called the constant ratio.
3. So each new term is the previous term multiplied by that constant ratio.
4. Halving is only one special case of this, with a ratio of one half.
_Source: Siyavula Mathematics Grade 12 (Everything Maths, CC BY 4.0), Chapter 1: Sequences and series_
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