Algebra 1 - Sequences and Patterns

Front

What is a sequence in mathematics?

Back

A sequence is an ordered list of numbers that follow a specific pattern or rule.

Front

What is the common difference (d) in an arithmetic sequence?

Back

The common difference (d) is the constant amount that each term in the sequence increases or decreases by.

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 first term (a_1) of the sequence 10, 5, 0, -5, -10?

Back

The first term (a_1) is 10.

Front

What is the common difference (d) of the sequence 10, 5, 0, -5, -10?

Back

The common difference (d) is -5.

Front

What is an explicit formula for a sequence?

Back

An explicit formula expresses the nth term of a sequence as a function of n.

Front

What is the explicit formula for the sequence 2, 8, 14, 20?

Back

The explicit formula is a_n = 6n - 4.

Front

How do you determine the number of line segments in a geometric pattern?

Back

Count the number of segments added at each step, which often follows a specific rule or pattern.

Front

What is the formula for the nth term of the sequence -4, -1, 2, 5, 8?

Back

The formula is a_n = 3n - 4.

Front

What is a recursive formula for a sequence?

Back

A recursive formula defines each term of a sequence using the previous term(s).