SOLUTION: If the first two terms of a geometric sequence are 2 and 1, respectively, which term of the sequence is equal to 1/16?

Question 979019: If the first two terms of a geometric sequence are 2 and 1, respectively, which term of the sequence is equal to 1/16?
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
In a Geometric Sequence each term is found by multiplying the previous term by a constant.
In general we write a Geometric Sequence like this:
{ , , , , ... }
where:
is the first term, and
is the factor between the terms (called the "common ratio")
so, if first term is and second term is , a constant (the "common ratio") is
and your sequence looks like this:
{ , , , , ,,... }
so, we can find out which term is using the rule
to calculate any term:

(We use "n-1" because is for the 1st term)

=> ......so, it is term
check:
{ , , , , ,,,... }
{ , , , , ,,,... }

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