Discrete Mathematics Answers

Prove that if m is an integer and is even, then m is even. Use indirect proof in proving.

Answer the following

1. What is the 8th term the Fibonacci Sequence
2. What is the 16th term of the Fibonacci sequence
3. what is the next term of the sequence 1,4,16,25,36,49.....
4. what is the missing number in the sequence 3,5,9,__,15,23,33?
5. how are each term related to one another in the sequence 2,90,4,87,6,12,8,51,10?

Determine which of the given statements is in inductive or deductive reasoning

1. if a quadrilateral has a four sides, then a rectangle is a quadrilateral?
2. I find people with glasses intellectual. Joaquin is wearing glasses. therefore Joaquin is intellectual.
3. my math teacher of last semester was a woman. this semester, my math teacher is a woman. therefore, all math teachers are woman.
4. A man inspects 12 taxis, all of which are white and concludes that all taxis are white.
5. for the first 5 activities, Jayson is first one to complete the activity. he concludes that he will be the first one finish in all activities.

Draw the multiple-level NAND circuit for the following expression: W(X + Y + Z) + XYZ

Determine whether ( 𝑝∨𝑞)∧(𝑝→𝑟)∧( 𝑞→𝑠)→𝑟∨𝑠 is a Tautology or a contradiction

Draw the hasse diagram representing the partial ordering {(a,b)/a divides b} on {1,2,3,4,6,8,12}

Determine which of the following is proposition. Indicate the reason why or why not.

1. The Earth is the second planet from the sun.

2. Buy a new book for your Algebra class.

3. 3x + 6 = 9 if and only if x = 1.

4. The platypus is a marsupial.

5. Are you in school today?

6. If x > 4 then x = 2.

7. 5 + 7 = 14.

8. Phil and James are brothers.

9. Hello, mother!

10. x^2 − 4x + 4

11. The University of Sto. Tomas is the oldest school in Philippines.

12. If the teacher is absent, then the students will celebrate.

13. The new faculty loves to wear jeans.

14. Every equilateral triangle is equiangular.

15. I love you.