Do these ratios form a proportion?
2 answers:
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Answer:
Explicit form:
Recursive form: with
.
Step-by-step explanation:
The first term is 3 and we are dividing by 3 each time.
Another way to say we are dividing by 3 each time is to say we are multiplying by factors of 1/3.
If the first term is and
is the common ratio then the geometric sequence in explicit form is:
The recursive form for a geometric sequence is with
where
is the common ratio and
is the first term.
So the recursive form for our sequence is with
.