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Q14-6 points Prove the statement (if true), or disprove it by giving a counterexample (if false)                If n is an integer and n²​ is divisible by 4, then n is divisible by 4.

Q17-5 points Solve by backtracking for an explicit formula for the recursive sequence: a1​ = 4 an​ = -3a​n-1

Q4-5 points Given the following sets: U = ​{1, 2, 3, 4, 5, 6, 7, 8} A = ​{4, 6, 7} B = ​{1, 2, 4, 7} C = ​{1, 3, 5, 6, 8} Let D = B – A. Find D x D.

Q18-5 points Solve the recurrence relation: b1​ = 3 b2​ = 5 bn​ = 2​bn-1​ −​ b​n-2

Q2-6 points Determine the truth value of the statement:                          (−9 < −3)  ∨ (5²​  = 49)   Write True or False for the answer.

Q9-8 points Consider the propositional values:   p​(​n​): ​n​ is prime q​(​n​): ​n​ is even r​(​n​): ​n​ > 2                                                       Express the following in words: ∀n ∈ Z [(q(n) ⋀ r(n)) ⇒ ~ p(n)] 

Which assessment findings should the nurse note in a school-age child diagnosed with Duchenne’s muscular dystrophy (DMD)?  Select 3 that apply.

An adolescent with scoliosis is refusing to wear the prescribed body brace. Which instruction is best to progress the adolescent to the treatment goals?

Q8-8 points Negate the following statement. “For all real numbers ​x​ and ​y​, (​x​ + ​y​ + 4) < 6.”

The nurse is caring for an infant with myelomeningocele who is scheduled for surgical repair in the morning. Which of the following is not considered as an early sign of infection should the nurse monitor on this infant?