the steps in the correct order to show that 6 divides n whenever n is...

80.2K

Verified Solution

Question

Basic Math

image

the steps in the correct order to show that 6 divides n whenever n is a nonnegative integer using mathematical STEP VE STEP 61 0 0 i e 610 so the basis step is true 61 1 1 i e 610 the basis step is true By the inductive hypothesis 31 kk Clearly 31 3k k 1 but 3k k 1 is also odd as one of k or k 1 is even therefore 6 3k k 1 as well k 1 k 1 k 3k 3k 1 k 1 K k 3k k 1 0 By the inductive hypothesis 6 K K Clearly 31 3k k 1 but 3k K 1 is also even as one of k or k 1 is even therefore 6 3k k 1 as well As the sum of two multiples of 6 is again divisible by 6 6 k 1 k 1 Suppose that 6 K K

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!
Become a Member

Other questions asked by students