Proving a divisibility property by mathematical induction
{"Image DocumentName": "Proving a divisibility property by mathematical induction", "Image ImageDescription": "Proposition: For any integer n\u22651, 7n - 2n is divisible by 5. (P(n)) Proof (by induction): 1) Basis step: The statement is true for n=1: (P(1)) 71 \u2013 21 = = 5 is divisible by 5. 2) Inductive step: Assume the statement is true for some k\u22651 (P(k)) (inductive hypothesis) ; show that it is true for k+1 . (P(k+1))", "Image XResolution": "37", "Image YResolution": "37", "Image ResolutionUnit": "Pixels/Centimeter", "Image Software": "SlidePlayer", "Image YCbCrPositioning": "Centered"}