Which sequences are geometric sequences? Check all that apply. 4, 2, 1, One-half, One-fourth,... −2, 3, −4, 5, −6, … 2, 6, 18, 54, 162, … −4, −16, −64, −256, … −2, −4, −12, −48, −240, …

1,3,4      Step-by-step explanation:

(1)We get that all terms have same then It is a Geometric Sequence.

(2)We get Common ratio of given sequence is not same. It is not an           geometric sequence.

(3)We get the common ratio is same then it is a Geometric Sequence

(4)We get the common ratio is same then it is a Geometric Sequence.

(5)We get Common ratio of given sequence is not same. It is not an geometric sequence.

Step-by-step explanation:

Here, The Geometric Progression in the form:

         Where          

So, Check all that apply.

(1)    

For the geometric Sequence Common ratio must be same.

⇒      

Then,     Finding for given sequence

   ∴        

   ⇒      

Clearly,

We get that all terms have same then It is a Geometric Sequence.

(2)  

Same as above we will check the common ratio

⇒        

⇒        

Clearly,

We get Common ratio of given sequence is not same. It is not an geometric sequence.

(3)      

Now checking common Ratio

⇒      

⇒      

Therefore,

We get the common ratio is same then it is a Geometric Sequence.

(4)    

Now checking common Ratio

⇒      

⇒      

Therefore,

We get the common ratio is same then it is a Geometric Sequence.

(5)

Now checking common Ratio

⇒    

⇒    

Clearly,

We get Common ratio of given sequence is not same. It is not an geometric sequence.

step-by-step explanation: