Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. advance math
  3. 1. use induction to prove that summation with n te

1. Use induction to prove that Summation with n terms where i=1 and Summation 3i 2...

80.2K

Verified Solution

Question

Advance Math

1. Use induction to prove that Summation with n terms where i=1and Summation 3i 2 ? 3i + 1 = n^3 for all n ? 1.

2. Let X be the set of all natural numbers x with the propertythat x = 4a + 13b for some natural numbers a and b. For example, 30? X since 30 = 4(1) + 13(2), but 5 ?/ X since there’s no way to add4’s and 13’s together to reach 5. (It’s not a multiple of 4, andadding 13 goes over.) Use strong induction to prove that n ? X forall integers n ? 36. Hint: it should be easy to show that k + 1 ? Xif k ? 3 ? X. You may need multiple base cases for this problem

Answer & Explanation Solved by verified expert
4.4 Ratings (622 Votes)
1 We will use induction on n to prove thatBase step For n 1 So the statement    See Answer
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: Zin AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Q

Calculate the wavelength of each of the following frequencies of electromagnetic radiation A) 104.8 MHz (typical frequency...

Chemistry
Q

The water characteristic curve is important because: a) It is used to obtain the available water...

Biology
Q

Explain how the goals of sentencing are generally either aligned or in conflict with each of...

Psychology
Q

regulatory standards for inertial navigation systems?

Electrical Engineering
Q

1. Compliance with the IFRS is enforced by: a. FASB, b. government regulators, c. IAS, or...

Accounting
Q

12 96 The baseball player A hits the baseball with VA 40 ft s and...

Basic Math
Q

Use the following information to answer this question.

Accounting
Q

Which of the following types of analytical procedures involves comparing various account balances to a...

Accounting
Q

Which 2 statements are true about converting sub-customers to projects? Only the Accountant user can...

Accounting
Q

Waterways Corporation uses very stringent standard costs in evaluating its manufacturing efficiency. These standards are...

Accounting
Q

need both A & B, thank you! Mr. and Mrs....

Accounting
Q

Cisco Enterprises in Ontario purchased the following in a single month all-inclusive of taxes: 1....

Accounting