We will see that the pattern is defined by the function:
f(x) = (x - 1)*x
Such that:
f(5) = 20.
How to find the pattern?
Here we have the relations:
1 = 0
3 = 6
4 = 12
2 = 2
5 = ?
We can think this as a function, actually:
f(1) = 0
f(3) = 6
f(4) = 12
f(2) = 2
f(5) = ?
Now, one pattern that can be seen is that:
f(1) = (1 - 1)*1 = 0
f(2) = (2 - 1)*2 = 2
f(3) = (3 - 1)*3 = 6
And so on, so the function is actually:
f(x) = (x - 1)*x
Evaluating it in 5, we will see that:
f(5) = (5 - 1)*5 = 20
If you want to learn more about functions, you can read:
https://brainly.com/question/1770447
