Please help Thank you
\(k, a_2, a_3\) and \(k, b_2, b_3\) are both nonconstant geometric sequences with different common ratios. We have \(a_3-b_3=3(a_2-b_2).\)
Find the sum of the common ratios of the two sequences.
Use k in all your answers
What is the common ratio of the first one ?
What is the common ratio of the second one ?
You want a single number for the sum of these.
What is an expression for a_3?
What is an expression for b_3?
Answer these then see if you can continue. [ It will be useful to remember that x^2-y^2 = (x-y)(x+y) ]