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Sagot :
Answer:
ratio = -3
Step-by-step explanation:
To find the common ratio of the sequence, we use this geometric sequence formula:
[tex]\boxed{U_n=U_1\cdot r^{n-1}}[/tex]
where:
- [tex]U_n=\texttt{the n-th term}[/tex]
- [tex]U_1=\texttt{the first term}[/tex]
- [tex]r=\texttt{ratio}[/tex]
To find the ratio, we can pick any pair of the consecutive terms to substitute to the formula. The easiest pair would be U₁ and U₂.
[tex]\begin{aligned}U_2&=U_1\cdot r^{2-1}\\6&=-2\cdot r^{2-1}\\r&=6\div -2\\r&=\bf -3\end{aligned}[/tex]
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