Some equations to consider and
"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.
Hello, Pulsys!
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 and write down the sequences.
The first four terms are: .
We are told: .
From [2], we have: .
From [1], we have: .
. . .
. .
Substitute into [3]: .
The sequences are: .