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which of the following is a geometric sequence?a: -2, 6,14,22...b. 11,16,31,26 ...c. 6,13,19,24 ...d. -3,3,-3,3,...

User Ccshih
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1 Answer

3 votes

ANSWER

D

Step-by-step explanation

A sequence is geometric when it has a common ratio (r)

The common ratio is calculated thus;


\frac{2nd\text{ term}}{1st\text{ term}}=(3rdterm)/(2ndterm)

The only option that satisfy the condition for calculating the common ratio (r) is;


\begin{gathered} d.-3,3,-3,3 \\ \frac{2nd\text{term}}{1st\text{term}}=(3rdterm)/(2ndterm) \\ 1stterm=-3 \\ 2ndterm=3 \\ 3rdterm=-3 \\ 4thterm=3 \\ \frac{2nd\text{term}}{1st\text{term}}=(3rdterm)/(2ndterm)=-(3)/(3)=-(3)/(3)=-1 \end{gathered}

User Ljeabmreosn
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