U1 Q1 Direct Variation and Arithmetic Sequences

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant. This difference is called the common difference.

Front

How do you determine if a sequence is arithmetic?

Back

To determine if a sequence is arithmetic, check if the difference between each pair of consecutive terms is the same.

Front

What is the formula for the nth term of an arithmetic sequence?

Back

Front

What is direct variation?

Back

Front

How do you find the constant of proportionality in direct variation?

Back

Front

What is the explicit formula for an arithmetic sequence?

Back

Front

What is the common difference in an arithmetic sequence?

Back

The common difference is the fixed amount that each term in an arithmetic sequence increases or decreases by. It is calculated by subtracting any term from the subsequent term.

Front

How do you find the next terms in an arithmetic sequence?

Back

To find the next terms in an arithmetic sequence, add the common difference to the last known term.

Front

What does it mean for a graph to represent direct variation?

Back

A graph represents direct variation if it is a straight line that passes through the origin (0,0).

Front

What is the relationship between direct variation and proportionality?

Back

In direct variation, the two variables are proportional to each other, meaning that as one variable increases, the other variable increases at a constant rate.