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Prove by mathematical induction

2n>(n+1)! For all integars n>=2


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


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