Question

Is 25, 75, 100.... geometric sequence? Please Explain how to get the common ratio.

Answer 1

To prove if that is a geometric sequence, they must have the same common ratio.

So, 100/75 must be equal to 75/25
100/75 = 1.333 while 75/25= 3

Since it is both not equal to each other.

The above is not a geometric sequence.

Now how to find common ratio.
Given a valid geometric sequence like,
1,2,4,8,16.

U realize that,
\[\frac{16}{8} = \frac{8}{4} = \frac{4}{2}= \frac {2}{1}\]
and they all equals to 2.
So 2 is the common ratio here.

Answer 2

So since its not a geometric sequence and it cant be a arithmetic sequence because the numbers arent equal then it is neither right?

Answer 3

yea it is neither.

Answer 4

ok thank you very much.

Answer 5

Np!