1 point By dragging statements from the left column to the right column below give...
60.2K
Verified Solution
Link Copied!
Question
Basic Math
1 point By dragging statements from the left column to the right column below give a proof by induction of the following statement For all n 0 8 divides 32 1 The correct proof will use 8 of the statements below Statements to choose from We have 32 k 1 13 32k 1 9 3 k 1 9 3 k 9 9 1 9 32k 1 9 1 9 3 k 1 8 Now assume that P k is true for an arbitrary integer k 0 Then 32k 1 8j for some integer j Let P n be the statement 8 divides 32 1 Therefore by the Principle of Mathematical Induction P n is true for all n 0 Thus P k 1 is true So 32 k 1 1 9 8j 8 8 9j 1 which is divisible by 8 Note that the base case P 0 is true since 32010 which is divisible by 8 Your Proof Put chosen statements in order in this column and press the Submit Answers button
Answer & Explanation
Solved by verified expert
Get Answers to Unlimited Questions
Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!
Membership Benefits:
Unlimited Question Access with detailed Answers
Zin AI - 3 Million Words
10 Dall-E 3 Images
20 Plot Generations
Conversation with Dialogue Memory
No Ads, Ever!
Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
