Can you find the values of n ∈ Z that the following expression holds using induction n+6 < 1/16 n2-1/2n?
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Can you find the values of n ∈ Z that the following expression holds using induction
n+6 < 1/16 n2-1/2n?
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- What value is returned by the following function? Express your answer as a function of n. Give the worst-case running time using the Big-Oh notation.// 9. Is It Prime? function isPrime(n) { if (n < 2 || n % 1 != 0) { return false; } for (let i if (n % i } return true; 2; i < n; ++i) { 0) return false; == }n is in Omega(n) true or false?
- le.com/forms/d/e/1FAlpQLSc6PlhZGOLJ4LOHo5cCGEf9HDChfQ-tT1bES-BKgkKu44eEnw/formResponse The following iterative sequence is defined for the set of positive integers: Sn/2 3n +1 ifn is odd if n is even Un = Using the rule above and starting with 13, we generate the following sequence: 13 u13 = 40 u40 =20 u20 = 10→ u10 =5 u5 = 16 u16 = 8 ug = 4 → Us =2 u2 =1. It can be seen that this sequence (starting at 13 and finishing at 1) contains 10 terms. The below function takes as input an integer n and returns the number of terms generated by the sequence starting at n. function i-Seq (n) u=n; i=%3; while u =1 if statement 1 u=u/2; else statement 2 end i=i+1; end statement 1 and statement 2 should be replaced by: None of the choices statement 1 is "mod(u,2)=D%3D0" and statement 2 is "u = 3*u+1;" statement 1 is "u%2" and statement 2 is "u = 3*u+1;" O statement 1 is "mod(n,2)=30" and statement 2 is "u = 3*n+1;"Q2/ find the result of this operation with draw its : V(T)= 6u (t-2) - 6u (t-6)find a counterexmaple.
- Adt. If possitble, rethace the answe (10)/(21)+(1)/(9) Please give proper explanation and typed answer only.Let S = {1, 2, 3, ..., n). Consider the following two statements: 1. If 12 is odd, then S has the same number of subsets with an odd number of elements as subsets with an even number of elements. 2. If 72 is even, then S has the same number of subsets with an odd number of elements as subsets with an even number of elements. Which of the following is correct? Statement 1 is true and Statement 2 is false. Statement 1 is true and Statement 2 is true. Statement 1 is false and Statement 2 is false. Statement 1 is false and Statement 2 is true.How should you write a reduce function that calculates the sum of the first 10 numbers of the geometric progression given by the following recurrence relation: an = 2 an-1 where ao = 1? Choose all that apply. To use reduce you need to import it from functools: from functools import reduce sum_ = reduce (lambda x, y: y+x, [2**x for x in range(10)]) sum_ = reduce (lambda x, y: y*x, [2*x for x in range(1,11)]) sum_ = reduce (lambda x, y: x + y, [2**i for i in range(10)]) sum_ = reduce (lambda x, y: y*x, [2 for x in range(1,11)]) sum_ = reduce (((x, x+y) for x in [2**i for i in range(10)]), [2**x for x in range(10)])