14. Which of the following do you assume to be the inductive step?A. +2 > *kC. IA >I1.D. 12 > I1E. None of the above.15. Which of these statements is true for P?A. Ik+1 > +2B. I+1 < IC. VEk+1 +2 > VIk +2.D. +2 < +1E. None of the above.16. Which of the following is the best conclusion for the argument above?A. P, is true Vn eN since P is true and P is true.B. P, is true Vn eN because P+1 + PC. P, is true Vn€N since P = P+1.D. P, is true Vn €N because P, is true and P → P+1E. None of the above.17. Evaluate | (n+1)! – (n + 2)! |, where n eNА. п!В. (п + 1)!C. (n+ 1)(n + 2)!.D. (n+ 1)(n+ 1)!E. None of the above.18. Which of these sequences is/are not bounded?III. a, - 73 + (-1)"I. a, = (-1)", n21A. III onlyB. I onlyC. II only.D. I and III onlyII. an+1 - Va, + 1, a, = 1, n 21E. None of the above choices A, B,C or DK. Piesie.Page 5 of 819. Let a, = (-1)" Vn 21. Calculate the value of an+1 - an for odd values of n.A. -1В. -2С. 2.D. 1E. None of the above,20. Let D = {r €R:r> 0 and x² < a}. If sup D = b which of the following is true?A. b= aB. P = aC. b= ±Va.D. b>aE. None of the above.

Name: 14. Which of the following do you assume to be the inductive step?A.
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Description: 14. Which of the following do you assume to be the inductive step?A. +2 > *kC. IA >I1.D. 12 > I1E. None of the above.15. Which of these statements is true for P?A. Ik+1 > +2B. I+1 VIk +2.D. +2 < +1E. None of the above.16. Which of t

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14. Which of the following do you assume to be the inductive step? A. IA+2 > B. +1 < I C. IA > I1. D. 12 > I1 E. None of the above,

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Chapter2: Second-order Linear Odes

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.

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14. Which of the following do you assume to be the inductive step?
A. +2 > *k
C. IA >I1.
D. 12 > I1
E. None of the above.
15. Which of these statements is true for P?
A. Ik+1 > +2
B. I+1 < I
C. VEk+1 +2 > VIk +2.
D. +2 < +1
E. None of the above.
16. Which of the following is the best conclusion for the argument above?
A. P, is true Vn eN since P is true and P is true.
B. P, is true Vn eN because P+1 + P
C. P, is true Vn€N since P = P+1.
D. P, is true Vn €N because P, is true and P → P+1
E. None of the above.
17. Evaluate | (n+1)! – (n + 2)! |, where n eN
А. п!
В. (п + 1)!
C. (n+ 1)(n + 2)!.
D. (n+ 1)(n+ 1)!
E. None of the above.
18. Which of these sequences is/are not bounded?
III. a, - 73 + (-1)"
I. a, = (-1)", n21
A. III only
B. I only
C. II only.
D. I and III only
II. an+1 - Va, + 1, a, = 1, n 21
E. None of the above choices A, B,C or D
K. Piesie.
Page 5 of 8
19. Let a, = (-1)" Vn 21. Calculate the value of an+1 - an for odd values of n.
A. -1
В. -2
С. 2.
D. 1
E. None of the above,
20. Let D = {r €R:r> 0 and x² < a}. If sup D = b which of the following is true?
A. b= a
B. P = a
C. b= ±Va.
D. b>a
E. None of the above.

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