Algebra Final 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 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 is the formula for the slope of a line?

Back

The slope (m) of a line passing through two points (x1, y1) and (x2, y2) is given by m = (y2 - y1) / (x2 - x1).

Front

What is the product of (3x + 2)(2x + 4)?

Back

The product is 6x^2 + 16x + 8.

Front

What are the next two terms in the sequence 1/3, 2/3, 1, 4/3?

Back

The next two terms are 5/3 and 2.

Front

What is a geometric sequence?

Back

A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.

Front

How do you determine if a sequence is arithmetic?

Back

A sequence is arithmetic if the difference between consecutive terms is constant.

Front

What is the common difference in the sequence 12, 18, 24, 30?

Back

The common difference is 6.

Front

What is the next term in the sequence 10, 3, -4, -11?

Back

The next term is -18, with a common difference of -7.

Front

What is the definition of a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b.