Writing equations review

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 (d) 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 (a_n) can be calculated 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 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).

Front

How do you write the equation of a line in slope-intercept form?

Back

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

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x = 0.

Front

How do you determine the equation of a line given a point and a slope?

Back

Use the point-slope form: y - y_1 = m(x - x_1), where (x_1, y_1) is the point and m is the slope.

Front

What is the difference between positive and negative slopes?

Back

A positive slope indicates that the line rises as it moves from left to right, while a negative slope indicates that the line falls.

Front

What is the significance of the common difference in an arithmetic sequence?

Back

The common difference determines how much each term increases or decreases from the previous term.

Front

How can you identify an arithmetic sequence from a list of numbers?

Back

An arithmetic sequence can be identified if the difference between consecutive terms is constant.