Module 1 Activity 2.2, Matching Sequences to Graphs

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 a graph in mathematics?

Back

A graph is a visual representation of data or mathematical relationships, typically using axes to plot points.

Front

What does it mean for a sequence to be arithmetic?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

Front

What does it mean for a sequence to be geometric?

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 find the next term in an arithmetic sequence?

Back

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

Front

How do you find the next term in a geometric sequence?

Back

To find the next term, multiply the last term by the common ratio.

Front

What is the common difference in the sequence 2, 5, 8, 11?

Back

The common difference is 3, as each term increases by 3.

Front

What is the common ratio in the sequence 3, 6, 12, 24?

Back

The common ratio is 2, as each term is multiplied by 2 to get the next term.

Front

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

Back

Front

What is the formula for the nth term of a geometric sequence?

Back