Answer:
Step-by-step explanation:
<u>Geometric Sequences</u>
The geometric sequence is given as:
Where n is the number of the term, n≥1, and r is the common ratio.
The sum of n terms of the geometric sequence is given by:
We are given: S3=252, a1=192, thus substuting:
Dividing by 12:
Recall that:
Substituting:
Simplifying:
Rearranging:
16r^2+16r-5=0
Rewriting:
Factoring:
Solving:
Both solutions are valid