Answer:
{-3, -1, 1, 3}
Step-by-step explanation:
Sometimes it is convenient to consider the average value of the integers in a "consecutive integer" problem.
We know the average value of 4 consecutive odd integers is the even integer between the middle two. If we call that "n", then the integers of interest are (n-3), (n-1), (n+1), and (n+3). Of course, their sum is 4 times the average value, so is 4n.
4n = 0 . . . . . . the sum of the 4 consecutive odd integers is 0
Dividing by 4, we find the average value to be ...
n = 0/4 = 0
Then the 4 integers are ...
The average is the sum, divided by the number of contributors:
0 = (-3 +(-1) +1 +3)/4 = 0/4 . . . . . . true
The equation that models the sentence is : x + (x + 2) + (x + 4) + (x + 6) = 0. The numbers are {-3, -1, 1, 3}.
An odd number is a number that cannot be divided into half without any remainders. For example when 7 is divided in half, its value is 3.5. Examples of Positive odd numbers are 1,3, 5, 7. 11 etc. Examples of Negative odd numbers are -1, -3, -5, -7 etc.
Consecutive odd numbers are odd numbers that follow each other. Examples are 1, 3, 5. Consecutive odd numbers increase/decreases by 2.
In order to model the sentence, let x represent the first odd number then
Second odd number = x + 2
Third odd number = x + 4
Fourth odd number = x + 6
The equation is: x + (x + 2) + (x + 4) + (x + 6) = 0
{ put x = -3 } we get {-3, -1, 1, 3} numbers. Here,
First odd number = -3
Second odd number = -1
Third odd number = 1
Fourth odd number = 3
When we put {-3, -1, 1, 3} values in the above equation then,
such that: (-3) + (-1) + 1 + 3 = 0.
Hence, The equation that models the sentence is : x + (x + 2) + (x + 4) + (x + 6) = 0 and the numbers are {-3, -1, 1, 3}.
Learn more about "Consecutive Odd Numbers" from here: https://brainly.com/question/15453368
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