Question

If the sequence is geometric, give its common ratio.
1, 5, 15, 22 ...

Answer 1

If a sequence is geometric it has a common ratio

to find the common ratio compare the terms

\[\frac{T_{2}}{T_{1}} = \frac{T_{3}}{T_{2}} ....... \]

so you have

\[\frac{5}{1} = \frac{15}{5} = \frac{22}{15}\]

the ratios are not the same so the sequence isn't geometric