The geometry sequence is given by the following formula:
[tex]S_n=a_{ti}*q^{n-1}[/tex]
Where:
ti: Initial term = 6
q= Rate of change = 8.5/6=17/12
n= number of terms.
The initial term is 6, and it changes adding 1.5, therefore:
[tex]\begin{gathered} second\text{ term= 6*x=8.5} \\ third=6*x^2=11 \\ fourth=6*x^3=13.5 \\ \\ \end{gathered}[/tex]
Here, when n=5, S should be 13.5. Hence the next term is n=7. Replacing:
Answer: The possibles missing values are: 15 or 16, following the sequence.
