If are in GP, then
So the common ratio is
Hey guys just started a new subject in maths today on geometric sequence
Any way here is the question I am having trouble with..
Find the value of x such that 3 - x; x; 2 - x are successive terms of a G.S and state the value of common ratio, r.
If this is a geometric sequence, every new value will be (previous . r).
So,
Then, we can write
Now just solve it. Is it OK so far? This is the same as what isomorphism did, I only wanted to explain because I saw that you've just started this topic.
Now let's find a rule for these kinds of questions.
If is a term of a geometric sequence, the next terms will be and .
You can easily see that .
So,