Hi, I need some help if possible. Thanks! 1. Which of the followings can be list

Question

Hi, I need some help if possible. Thanks!

1. Which of the followings can be listed as one of the steps for Mathematical induction? 1. Basis step 2. Induction Hypothesis 3. Induction Conclusion (A) 1 and 2 (B) 2 and 3 (C) 1 and 3 (D) All three. 2. Consider the statement For any integer n 2, if r ,rn are real numbers, then Suppose you are trying to prove this statement by mathematical induction. The base step should be (A) Taking squareroot of both sides, we get VT1 Sl lail+ la2l ls lzil la2l (B) 1 and Szil since ri S r (C) We would not choose mathematical induction (D) Produce n such that Vri a2 S lail lrnl. Consider the following proof for the statement in previous question. Proof We prove the result by mathematical induction 1. n ii. Taking sq of both sides, we get Ti+r sl lal lal ls lavil lal. Therefore base case holds. iii. Suppose that the result holds for some integer k with k 22, that is ri iv. Consider n k 1. Let A -ri+... at. Then A2 k+1 get, VAZ vi. Then we

Explanation / Answer

1.A ,1 and 2

2.A

3.A. Yes

4.B ,No

5.B, induction hypothesis

6.c ,previous knowledge

7.B,no, each step shoul be justified .

8.B, no

9.B ,induction hypothesis

Related Questions

Navigate

• Browse (All)
• Browse H
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.