Question

Find the five consecutive Integer have a product of 524,160​

Answer 1

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 $x$ then the other consecutive integers can be found as follows:

$x:First \ number \\ \\ x+1:Second \ number \\ \\ x+2:Third \ number \\ \\ x+3:Fourth \ number \\ \\ x+4:Fifth \ number$

So the product is:

$x(x+1)(x+2)(x+3)(x+4)=524160$

We can solve this problem saying that:

$f(x)=x(x+1)(x+2)(x+3)(x+4) \\ \\ \\ Or: \\ \\ y=x(x+1)(x+2)(x+3)(x+4) \\ \\ \\ If \ we \ set \ y= 524160 \\ \\ \\ Then: \\ \\ x(x+1)(x+2)(x+3)(x+4)=524160$

By using graphing tool, we plot:

1. The function:

$f(x)=x(x+1)(x+2)(x+3)(x+4)$

2. The line:

$y=524160$

The solution is the intersection of both the function f(x) and the line, which is x. The result is shown below. So:

$x=12 \\ \\ x+1=13 \\ \\ x+2=14 \\ \\ x+3=15 \\ \\ x+4=16$

Learn more:

Cross section: brainly.com/question/12540762

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