The old native american saying "before you act, consider the consequences on the next seven generations" is best described as what kind of thinking?

It's best-described Utilitarianism kind of thinking.
Utilitarianism thinking refer to the kind of thinking that aimed to obtain maximum utility around every opportunities that exist in front of us.
People with this kind of thinking tend to consider long-term results of all their actions and choose the one that will bring them the most value.