Answer:
Number 2 Polygonal lasso tool
Explanation:
Answer:
<u>First test:</u> Give a list of disordered numbers to the sorting algorithm an examine if the output is correctly sorted.
<u>Second test:</u> Give a list of ordered numbers to the sorting algorithm an analyze if the output is still correctly ordered.
<u>Third test:</u> Give a list of ordered numbers and some non-numeric values to the sorting algorithm and check how is managed the exception in case of error or if the output is correctly ordered.
Answer:
The word efficient denotes the ability to achieve a good goal toward a person, and effectiveness denotes reliable production or achievement.
Explanation:
Many people around the world can set efficient goals, that is, to influence or encourage other people to make good projects or changes in their lives, by example or simply teach them with patience and altruism.
In this way effectiveness will be seen, that is, the product or the achievement precisely when we observe how people undertake new projects in their lives
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) {
if(2n-1==1) return 1;
return (2n-1) + recursiveOddSum(n-1);
}
To prove the correctness of this algorithm by induction, we start from the base case as usual:

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
returns indeed the sum of the first n-1 odd numbers, and we have to proof that
returns the sum of the first n odd numbers. By the recursive logic, we have

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

C. people have to buy entire albums, which can get expensive.