Question

Which of the following best describes the set of numbers? 6, 12, 24, 48, ..., 1536 Infinite alternating sequence Finite geometric sequence Infinite arithmetic sequence Infinite geometric sequence

Answer 1

I'm pretty sure the answer is Finite geometric sequence because it has an end point.

Answer 2

Answer: Second option is correct.

Explanation:

Since we have given that

6,12,24,48,.......1536.

Here, a = first term = 6

r = common ratio =
`(a_2)/(a_1)=(12)/(6)=(24)/(12)=(48)/(24)=2`

And it has last term i.e.
`a_n=1536`

So, it becomes finite geometric sequence as it has common ratio and last term is defined due to which it becomes finite.

Hence, Second option is correct.