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 can be found by subtracting any term from the subsequent term (e.g., d = a_{n+1} - a_n).

Front

Determine if the sequence 37, 31, 25, 19 is arithmetic. What is the common difference?

Back

Yes, it is arithmetic. The common difference is -6.

Front

If Joe worked 30 hours and earns $20 per hour, how much does he earn?

Back

Joe earns $600.

Front

What are the next three terms in the arithmetic sequence: -33, -24, -15, -6?

Back

The next three terms are 3, 12, 21.

Front

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

Back

The nth term 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

How do you determine if a point lies on a line given by an equation?

Back

Substitute the x and y coordinates of the point into the equation. If the equation holds true, the point lies on the line.

Front

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

Back

The equation of a line in point-slope form is given by: y - y_1 = m(x - x_1), where m is the slope and (x_1, y_1) is a point on the line.

Front

Find a_{26} in the arithmetic sequence: -15, -35, -55, -75.

Back

a_{26} = -515.

Front

What is the slope of a line if the equation is given in the form y - y_1 = m(x - x_1)?

Back

The slope (m) is the coefficient of (x - x_1) in the equation.