The numbers are:
12
13
14
15
16
Explanation:
An integer is a number that consists of the zero, the positive natural numbers and the negative integers. So, in this case, we have to find the five consecutive Integer have a product of 524,160.
So, let the first number be [tex]x[/tex] then the other consecutive integers can be found as follows:
[tex]x:First \ number \\ \\ x+1:Second \ number \\ \\ x+2:Third \ number \\ \\ x+3:Fourth \ number \\ \\ x+4:Fifth \ number[/tex]
So the product is:
[tex]x(x+1)(x+2)(x+3)(x+4)=524160[/tex]
We can solve this problem saying that:
[tex]f(x)=x(x+1)(x+2)(x+3)(x+4) \\ \\ \\ Or: \\ \\ y=x(x+1)(x+2)(x+3)(x+4) \\ \\ \\ If \ we \ set \ y= 524160 \\ \\ \\ Then: \\ \\ x(x+1)(x+2)(x+3)(x+4)=524160[/tex]
By using graphing tool, we plot:
1. The function:
[tex]f(x)=x(x+1)(x+2)(x+3)(x+4)[/tex]
2. The line:
[tex]y=524160[/tex]
The solution is the intersection of both the function f(x) and the line, which is x. The result is shown below. So:
[tex]x=12 \\ \\ x+1=13 \\ \\ x+2=14 \\ \\ x+3=15 \\ \\ x+4=16[/tex]
Learn more:
Cross section: https://brainly.com/question/12540762
#LearnWithBrainly
