Question

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,...

Answer 1

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}`