University:
Texas State University
Course:
MATH 5388 | Discrete Mathematics
Academic year:

2023
Views:

149

Pages:

2
Author:

baredbroadpiece

Quiz 1.1 Quiz Instructions Question 1 1 pts Let {an}n∈N be the sequence recursively defined by a0 = 1 and an = 5an-1-n , ∀n ≥ 1. Identify the recursive relation. a0 = 1 an = 5an-1-n , ∀n ≥ 1. None of these. an = 5an-1, ∀n ≥ 1. Question 2 1 pts Let {an}n∈N be the sequence recursively defined by a0 = 7 and an = 4an-1 - 21, ∀n≥1. Indicate a non-recursive definition of the sequence {a n} n∈N an =7n+1, ∀ n ≥ 0 𝑎𝑛 =7, ∀𝑛 ≥ 0 a0=7 and an =7n, ∀ n ≥ 1 None of these. 1/2 Question 3 1 pts Find a recursive definition for the set S defined by S = {x∈N: x≥1, x mod 3≠0}. 3∈𝑆 and if 𝑥∈𝑆 then 𝑥+3 ∈𝑆 None of these. 𝑆 = {3𝑥+1: 𝑥∈𝑁} ∪ {3𝑥+2:𝑥∈𝑁} 1∈𝑆, 2∈𝑆 and if 𝑥∈𝑆 then 𝑥+3 ∈ 𝑆 Question 4 1 pts Let {an}n∈N be the sequence recursively defined by a0=6 and an =3an-1,∀n≥1. Indicate a non-recursive definition of the sequence {a n} n∈N 𝑎𝑛 = 2(3 𝑛+1), ∀𝑛 ≥ 0 𝑎𝑛 = 6(3 𝑛+1), ∀𝑛 ≥ 0 𝑎𝑛 = 2(3 𝑛), ∀𝑛 ≥ 0 None of these. 2/2

Discrete Mathematics Questions 1

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