Algebra 1a: Chapter 3, Lesson 11, page 158.
More Expressions and Equations
Remember, the sum of an integer and the next integer can be represented by `x` and `(x+1)` or `x+(x+1)` or `2x+1`.
For three consecutive integers, we have `x + (x+1) + (x+2)` and if we combine like terms, it looks like `3x+3`
The sum of consecutive (comes right after each other) odd OR even integers can be expressed as `x` and `(x+2)` or `x+(x+2)` or `2x +2`.
For three consecutive ODD OR EVEN integers, we have `x + (x+2) + (x+4)` and if we combine like terms, it looks like `3x+6`
If you get confused, just make a little table, like `3`, `4`, `5`, `6`, `7` and `8` and see where the variable `n ` would line up if the numbers were hidden.
Here is a link that shows a few examples too.
Two of tonight’s homework problems solved by MrE are here! Just click it!