Discrete Mathematics Answers

Find the formula for a given sequence

3/6, 8/25, 15/62, 24/123, 35/214

Find the formula for a given sequence

3/6, 8/25, 15/62, 24/123, 35/214

How many 3 letter words can be formed by the word letter EQUATION

• Determine whether each of the following statements is a proposition or not. If it is, give its truth value.p: Mindanao is an island in the Philippines. 
• q: Find a number which divides your age. 
• r: My seatmate will get a perfect score in the Logic exam.
• s: Welcome to the Philippines!

Solve using Polya’s four-step problem solving strategies.

2. According to a student survey on keyboard light preference, 44% liked white, 26% liked blue and 30% liked green. 8% liked both white and green, 12% liked both white and blue, 10% liked both green and blue. If 84% of them liked at least one keyboard light color, what percentage of people liked all three? 

Q(X,y):X+y >or=7 then what is truth value of∀x∃yQ(x,y)

. Let A = {a, b, c}, B = {x, y} and C = {0, 1}. Find

a. C x B X A

b. 𝐴

Use a set builder notation to give a description of each of these sets. [2 points]

a. {0, 3, 6, 9, 12}

b. {-3, -2, -1, 0, 1, 2, 3}

Let A, B, and C are not empty sets, then using Venn diagram represent the following:

(i) (A ∩ B) ∩ Cc

(ii) Ac ∪ (B ∪ C)

(iii)(A – B) ∩ C

(iv) (A ∩ Bc) ∪ Cc

 Let p, q, and r be the propositions. p : You get an A on the final exam. q : You do every exercise in this book. r : You get an A in this class. Write these propositions using p, q, and r and logical connectives (including negations). Then, Construct the truth table of the each proposition a) You get an A in this class, but you do not do every exercise in this book. b) You get an A on the final, but you do every exercise in this book, and you get an A in this class. c) You will get an A in this class if and only if you either do every exercise in this book or you get an A on the final. d) You get an A on the final, but you don’t do every exercise in this book; nevertheless, you get an A in this class.