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5. Let the universe of discourse be N. Let P(n) be the statement "n2 + 5n +1 is even". (a) Which of the following statements is true? A. P(n) is true for all n > 3 D. Vk, if n >k then P(n) is true B. 3k such that P(n) is true for all n k E. P(1) is true C. Vk, if P(k) is true then P(k + 1) is true F. none of (A)-(E). (b) Justify your choice for part (a).

5. Let the universe of discourse be N. Let P(n) be the statement "n2 + 5n +1 is even". (a) Which of the following statements is true? A. P(n) is true for all n > 3 D. Vk, if n >k then P(n) is true B. 3k such that P(n) is true for all n k E. P(1) is true C. Vk, if P(k) is true then P(k + 1) is true F. none of (A)-(E). (b) Justify your choice for part (a).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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5. Let the universe of discourse be N. Let P(n) be the statement "n2 + 5n +1 is even". (a) Which of the following statements is true? A. P(n) is true for all n > 3 D. Vk, if n > k then P(n) is true B. 3k such that P(n) is true for all n >k E. P(1) is true C. Vk, if P(k) is true then P(k + 1) is true F. none of (A)-(E). (b) Justify your choice for part (a).
Transcribed Image Text:5. Let the universe of discourse be N. Let P(n) be the statement "n2 + 5n +1 is even". (a) Which of the following statements is true? A. P(n) is true for all n > 3 D. Vk, if n > k then P(n) is true B. 3k such that P(n) is true for all n >k E. P(1) is true C. Vk, if P(k) is true then P(k + 1) is true F. none of (A)-(E). (b) Justify your choice for part (a).
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