Hello everyone i'm having problems on this last part of mathematical induction. I have to show that the two equations are equal to eachother. The book shows a few examples which i will show below. They are writing the kst term separately from the first k terms. Heres my problem firstly: Prove by mathematical induction: My Goal is to prove that those 2 equations do infact equal eachother, the boxed equations. Once I write the k term separatley then I go on to substitute from the inductive hypotheiss, then do some algebra. Examples of writing the terms seperately: Under my problem i attempted to mimic what they are doing, is that it or no? Any help would be great on explaining what they are doing here!