



 
Hi, First I suggest that you look at Victoria's response in The Principle of Mathematical Induction. For her step 1. check that your statement is true for i = 1. Step 2. assume that your statement is true for some n = k ≥ 1. Thus for your statement that is assume that for some k ≥ 1 Step 3. is the inductive step. Based on the assumption in step 2. you are to prove that
To prove this let then the left side is (x_{i} + y)^{2}. Expand this using the binomial theorem and use the assumption in part 2. to conclude that statement (*) is true. Perform step 4. I hope thus helps,  


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences. 