B BEN FOU Let k be any integer with k 22 We must show which of the following? 9k+1=2k +1+1 = 2k + 2 + 1 9k+2= Og = 2k +1

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B Ben Fou Let K Be Any Integer With K 22 We Must Show Which Of The Following 9k 1 2k 1 1 2k 2 1 9k 2 Og 2k 1 1 (438.03 KiB) Viewed 23 times

B BEN FOU Let k be any integer with k 22 We must show which of the following? 9k+1=2k +1+1 = 2k + 2 + 1 9k+2= Og = 2k +1+1 Ogk 2k +1 0 9k +2 g; = 2′ + 1. (This is the inductive hypothesis.) - 2 2k +1+ Janei By definition of 91 92 93 O9k + 1 = 3gk-29k - 1 09k F 39k-29k-2 O9k+2= 39k-29k 29k Ogk= 39k 9k + 2 = 39k-29 k-2 By inductive hypothesis, 9k --Select---✔ + 2 Thus, by substitution, TE 3 mmm.. (3 — 1) 2k +1+1, as was to be shown. and suppose that for each integer / with which of the following is true? E +3 and ---Select--- ✓ 2(2k-¹ + 1) N +1 2 = 2K-1 + 1, HUN PREDN BUNU quy