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Do a proof by mathematical induction using the four steps below to show that the following statement is true for every positive integer n:
(2+6+18+...+2*3^{n-1}=3^{n}-1\)
Question 1: Show that the base case is true
Question 2: What is the inductive hypothesis P(k)?
Question 3: Show what you have to prove, that is P(k+1)
Question 4: Prove P(k)P(k+1): (Justify each step)
Solve this question and show each and every step in detail.
An iterative algorithm to traverse an arbitrary number of nested subdirectories in a file system.
You should be able to perform the usual operations on the circle, such as setting the radius, printing the radius, calculating and printing the area and circumference.
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As the information systems manager for a small manufacturing plant,
A given program consists of a 200-instruction loop that is executed 50 times. If it takes 20,000 cycles to execute the program on a given system, what are that system's cycle per instruction
To illustrate how the asymptotic notation can be used to rank the efficiency of algorithms, use the relations "C " and "=" to put the orders of the following functions into a sequence, where e is an arbitrary real constant, 0
First integer of input refers to the total weight the ship can carry. Second integer refers to the number of cargo present and the rest of the integers represents the individual weight of the cargo
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Find the error in the following pseudocode
Write a JavaScript program that performs the following actions (in sequence, step-by-step):
You are a DBA for corporation's databases. The management has decided to increase security by applying database auditing yet they are unspecific what actions to audit.
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