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 next term in an arithmetic sequence?

Back

To find the next term, add the common difference to the last term.

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

What does it mean if a system of equations has no solution?

Back

It means the lines represented by the equations are parallel and will never intersect.

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What is the explicit formula for the arithmetic sequence: 25, 21, 17, 13,...?

Back

The explicit formula is a_n = -4n + 29.

Front

How do you determine if a point is a solution to a system of equations?

Back

Substitute the x and y values of the point into both equations. If both equations are true, the point is a solution.

Front

What is the common difference in the sequence: -3, -8, -13, -18,...?

Back

The common difference is -5.

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How do you find a specific term in an arithmetic sequence?

Back

Use the formula a_n = a_1 + (n-1)d, substituting n for the term number you want.

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What does the graph of intersecting lines represent in a system of equations?

Back

It represents a unique solution where the two equations intersect at one point.

Front

What is the first term of the arithmetic sequence: -15, -35, -55, -75,...?

Back

The first term is -15.