Please assist to explain how the following can be proved by induction:
Please assist to explain how the following can be proved by induction: 1+3+9+ ... + 3n-1...
Please note n's are superscripted. (a) Use mathematical induction to prove that 2n+1 + 3n+1 ≤ 2 · 4n for all integers n ≥ 3. (b) Let f(n) = 2n+1 + 3n+1 and g(n) = 4n. Using the inequality from part (a) prove that f(n) = O(g(n)). You need to give a rigorous proof derived directly from the definition of O-notation, without using any theorems from class. (First, give a complete statement of the definition. Next, show how f(n) =...
Can someone help me with the following problems please? 1. How can a security framework assist in the design and implementation of a security infrastructure? What is information security governance? Who in the organization should plan for it? 2 What are the issues associated with adopting a formal framework or model? 3. What benefit can a private, for-profit agency derive from best practices designed for federal agencies? 4. What are the differences between a policy, a standard, and a practice?...
1. Give an asymptotically tight bound to each of the following expressions: 3n^2 + 2n^3 3n log n + 2n^2 2^n + 3^n 2. Arrange the following asymptotic family from lower order to higher order. The first has been done for you. O(n log n) O(n^3) O(log n) O(n^2 log n) O(n) O(3^n) O(2^n) 3. At work, Peter needs to solve a problem of different sizes. He has two algorithms available to solve the problem. Algorithm A can solve the...
T(n)=2T(n/2)+n^2 can you please solve it using subsitution method? which is 1-guess 2-induction goal 3-induction hypothesis then proof it
how can i test convergence.
(2+1-1 (b) P=1 " -- ) 3n
please show all work
Determine whether the following series converges or diverges. 15 (3n - 1)(3n+2) + n=1 O A. This is a p-series with p = Sinceps the series diverges. 9 OB. The limit of the terms of the series is By the Divergence Test, the series converges. O C. This is a p-series with p = Since p> the series converges. 1 O D. This is a telescoping series and lim Sn Therefore, the series diverges. n0 O...
Can someone please explain this!
15. Circle one of the following charged compounds which is most stable. (3 Points) Sleast acidic +2 Which is the stronger influence for your choice? a) Resonance or b) Induction hyperconjugation)? (2 Points)
Question: Trapeziums
Please assist in explaining how to solve this problem solving
question.
An equilateral triangle, with side of length 3n for some natural number n, is made of smaller equilateral triangles. See the figure below for the case n=2. A bucket-shaped trapezium shown in the right of the below figure is made from three equilateral triangles. Prove that it is possible to cover the remaining squares with non-overlapping trapeziums.
can you please explain and
show me how to get the answer to the above question?
Question 7 An induction motor operates in stable region at which of the following slip values? s=0 o high slip region low slip region S
Using induction, show that T(n) = T(n/2) + 1 is O(lg n). Please explain steps, I'm trying to learn how to do this. Thank you :)