Algebra 2 Midterm

Front

What is a recursive formula?

Back

Front

How do you find the equation of a line given two points?

Back

Front

What is the difference between arithmetic and geometric sequences?

Back

An arithmetic sequence has a constant difference between consecutive terms (common difference, d), while a geometric sequence has a constant ratio between consecutive terms (common ratio, r).

Front

How do you determine if a sequence is arithmetic or geometric?

Back

To determine if a sequence is arithmetic, check if the difference between consecutive terms is constant. For geometric sequences, check if the ratio of consecutive terms is constant.

Front

What is the common difference in an arithmetic sequence?

Back

The common difference (d) in an arithmetic sequence is the fixed amount added to each term to get the next term. For example, in the sequence 3, 6, 9, 12, d = 3.

Front

What is the common ratio in a geometric sequence?

Back

The common ratio (r) in a geometric sequence is the fixed factor multiplied to each term to get the next term. For example, in the sequence 3, 6, 12, 24, r = 2.

Front

What is the point-slope form of a linear equation?

Back

Front

How do you solve a system of equations?

Back

To solve a system of equations, you can use substitution, elimination, or graphing methods to find the values of the variables that satisfy all equations simultaneously.

Front

What is the formula for the slope of a line?

Back

Front

What does it mean for a sequence to be neither arithmetic nor geometric?

Back

A sequence is neither arithmetic nor geometric if it does not have a constant difference or a constant ratio between consecutive terms.