Answer:
Three consecutive means 3 numbers right next to each other.
So how we’re gonna do that.
Multiple ways.
<u>Way #1, guess and check method</u>
So the final result has to be -6.
Using common knowledge we know if we add a negative with a negative you’d get a smaller negative.
And also if you add negative that in which the number is greater then the positive number, then it’ll also be negative.
Positive + positive is impossible here so that already crossed out a ton of options.
Let’s explore the negative view perspectives.
Since -6 is a pretty easy integer, you can easily guess with small numbers.
<em>First attempt</em>: -1 + -2 + -3 = -6
There -1, -2, and -3.
<u>Way #2, algebraically</u>
So what is a consecutive integer.
It’s a number that comes after another so for example.
1, 2, 3
The pattern is + 1.
There has to be a base so we can do for example “x”.
x, x+1, x+2
There’s 3 consecutive integers.
If you replace x with any number, the numbers given should be consecutive.
So using that knowledge youc an solve for the interger needed here which is -6.
x + x+1 + x+2 = -6
Simplify and solve.
3x+3= -6
3x= -9
x= -3
So using that -3, we can subside into the expressions from before.
x, x+1, x+2
-3, -3 + 1, -3 +2
-3, -2, -1
They are consecutive.
