Hey guys, im really struggling with induction. Question: Use induction to prove that 1 + 7 + 19 +..... + ( ) = for all positive integers by completing the following steps:
a) Show that the statement is true when .
My answer: Is this just substituting into ? and how do I know its true?
b) show that, if 1 + 7 + 19 + .... + ( ) = , then 1 + 3 + 5 + ... + ( ) + ) = .
my answer: Not sure this one! Any help would be much appreciated.