Finding the Terms in a sequence

Front

What is a sequence in mathematics?

Back

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

Front

How do you find the first term in a sequence defined by a linear expression?

Back

Substitute x=0 into the expression.

Front

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

Back

The nth term can be expressed as a linear function of n, typically in the form of an equation like ax + b.

Front

What are the first four terms in the sequence defined by 13 - 6x?

Back

{7, 1, -5, -11}

Front

What are the first four terms in the sequence defined by 20 + 8x?

Back

{28, 36, 44, 52}

Front

What are the first four terms in the sequence defined by 9x - 12?

Back

{-3, 6, 15, 24}

Front

What are the first four terms in the sequence defined by 5x + 12?

Back

{17, 22, 27, 32}

Front

What are the first four terms in the sequence defined by 6x + 2?

Back

{8, 14, 20, 26}

Front

What is the common difference in an arithmetic sequence?

Back

The common difference is the constant amount that each term increases or decreases by.

Front

How do you determine the common difference in a sequence?

Back

Subtract the first term from the second term.