Final answer:
The given sequence (1/9)r-(1/3)r+(10/9)-3 is an expression, not an equation, because it lacks an equals sign and does not assert the equality of two expressions.
Step-by-step explanation:
To determine whether the given sequence (1)/(9)r-(1)/(3)r+(10)/(9)-3 is an equation or an expression, let's examine its components. An equation is a mathematical statement that asserts the equality of two expressions, typically separated by an equals sign (=). An expression, on the other hand, is a combination of numbers, variables, and operations (like addition or multiplication) that represents a value.
The given sequence lacks an equals sign, indicating that it is not asserting that two things are equal. Therefore, it is not an equation. Instead, it is an expression, as it is a group of mathematical terms representing a value without indicating equality.
Equations and expressions are fundamental in algebra, and understanding the difference is crucial. A simple way to remember the difference is that an equation equates (has an equals sign), while an expression expresses (does not equate).