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Viefleur [7K]
3 years ago
8

The following program is run. Then the user click the "bottomButton TWO TIMES, What will be displayed in the console

Computers and Technology
1 answer:
Mashutka [201]3 years ago
3 0

Answer:

10

Explanation:

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Recursively computing the sum of the first n positive odd integers, cont. About (a) Use induction to prove that your algorithm t
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The recursive function would work like this: the n-th odd number is 2n-1. With each iteration, we return the sum of 2n-1 and the sum of the first n-1 odd numbers. The break case is when we have the sum of the first odd number, which is 1, and we return 1.

int recursiveOddSum(int n) {

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To prove the correctness of this algorithm by induction, we start from the base case as usual:

f(1)=1

by definition of the break case, and 1 is indeed the sum of the first odd number (it is a degenerate sum of only one term).

Now we can assume that f(n-1) returns indeed the sum of the first n-1 odd numbers, and we have to proof that f(n) returns the sum of the first n odd numbers. By the recursive logic, we have

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and by induction, f(n-1) is the sum of the first n-1 odd numbers, and 2n-1 is the n-th odd number. So, f(n) is the sum of the first n odd numbers, as required:

f(n)=\underbrace{\underbrace{f(n-1)}_{\text{sum of the first n-1 odds}}+\underbrace{2n-1}_{\text{n-th odd}}}_{\text{sum of the first n odds.}}

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3 years ago
The _____ method of developing systems produces code that is modular and reusable.
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The object-oriented analysis method of developing systems produces code that is modular and reusable.

<h3>What is object oriented system analysis?</h3>

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Note that this is said to be the basic idea behind the OSA methodology that are known to be described. The framework of OSA system models is known to be object class.

Hence, The object-oriented analysis method of developing systems produces code that is modular and reusable.

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Consider the following code segment:
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