Unit 5: System of Equations and Sequences

A set of two or more equations with the same variables. The solution is the set of values that satisfy all the equations simultaneously.

• System of Equations

• Linear Equations

A sequence that continues indefinitely without reaching a final term.

• Arithmetic Sequence

• Geometric Sequence

• Infinite Sequence

The set of values for the variables that satisfies all the equations in the system.

• Solution to a System

• Recursive Formula

A formula that expresses the terms of a sequence in relation to previous terms. It often involves a term being defined in terms of one or more preceding terms.

• Recursive Formula

• Explicit Formula

A technique for solving a system of equations by adding or subtracting equations to eliminate one of the variables, making it easier to solve for the remaining variable.

• Substitution Method

• Elimination Method

A sequence in which the difference between consecutive terms is constant.

• Arithmetic Sequence

• Geometric Sequence

• Infinite Sequence

A technique for solving a system of equations by solving one equation for one variable and substituting that expression into the other equation.

• Substitution Method

• Elimination Method:

A sequence in which the ratio of any two consecutive terms is constant.

• Arithmetic Sequence

• Geometric Sequence

• Infinite Sequence

A formula that directly calculates the value of a specific term in a sequence without needing information about previous terms.

• Recursive Formula

• Explicit Formula

Equations that represent straight lines when graphed. They are in the form y=mx+b, where m is the slope and b is the y-intercept.

• System of Equations

• Linear Equations