Question

5. What are the possible values of the missing term of the geometric sequence 6,....,13.5?[3 pts]

Answer 1

The geometry sequence is given by the following formula:

`S_n=a_(ti)*q^(n-1)`

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:

`\begin{gathered} second\text{ term= 6*x=8.5} \\ third=6*x^2=11 \\ fourth=6*x^3=13.5 \\ \\ \end{gathered}`

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.