U1 Q1 Direct Variation and Arithmetic Sequences

Front

What is direct variation?

Back

Direct variation is a relationship between two variables where one variable is a constant multiple of the other. It can be expressed in the form y = kx, where k is a non-zero constant.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x). It indicates how much y changes for a unit change in x.

Front

How do you identify a direct variation from a graph?

Back

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

Front

What is an arithmetic sequence?

Back

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

Front

How do you find the common difference in an arithmetic sequence?

Back

The common difference is found by subtracting any term from the subsequent term in the sequence.

Front

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

Back

The nth term of an arithmetic sequence can be found using the formula: a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you write an equation from a table of values?

Back

To write an equation from a table, identify the slope (change in y/change in x) and the y-intercept, then use the slope-intercept form.

Front

What does it mean if a sequence is arithmetic?

Back

If a sequence is arithmetic, it means that the difference between any two consecutive terms is always the same.

Front

What is the relationship between direct variation and proportionality?

Back

Direct variation indicates a proportional relationship between two variables, meaning as one variable increases, the other increases at a constant rate.