Task 74
Task 74: development task in emrekuruu/math-openenv, an RL environment on the Hugging Face Hub. Let $k, a 2, a 3$ and $k, b 2, b 3$ be nonconstant geometric sequences with different common ratios. If \ a 3-b 3=2(a 2-b 2),\ then what is the sum of the common ratios of the two sequences?
The task
Let $k, a_2, a_3$ and $k, b_2, b_3$ be nonconstant geometric sequences with different common ratios. If \[a_3-b_3=2(a_2-b_2),\]then what is the sum of the common ratios of the two sequences?