Geometric Sequence Problem

"The sum of the first 2 terms of a geometric sequence is four times the sum of the next 2 terms, and the sum to infinity is 3. Determine 'r' and write down the sequences."

I don't know how to start. Any pointers for what I need to do? Solutions welcome, this is prep for a test I'm writing in two hours. Thanks in advance.

Re: Geometric Sequence Problem

Some equations to consider and

Re: Geometric Sequence Problem

a + ar = 4(ar^2 + ar^3)

a(1 + r) = 4ar^2(1 + r)

a = 4ar^2

1 = 4r^2

r^2 = 1/4

r = 1/2

Re: Geometric Sequence Problem