Finding the term-to-term rule

In this lesson we will learn how to find the term-to-term rule for a sequence.

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Quiz:

Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

Q1.Which definition best describes an arithmetic sequence?

A sequence that goes up by 2 each time.A sequence of numbers with a constant difference between each term.A sequence where we can easily find the nth term.A sequence where we cannot find the nth term.

1/5

Q2.Which of the following is NOT an arithmetic sequence?

-3, -1, 1, 3, 5, ...-2n - 40.5, 1.5, 2.5, 3.5, 4.5, ...2, 4, 8, 16, 32, ...

2/5

Q3.Which of the following statements is true?

It is impossible to find the nth term of a sequence that isn't arithmetic.It is possible to find the nth term of a sequence that isn't arithmetic.Arithmetic sequences cannot have negative numbers in them.Arithmetic sequences cannot have decimal numbers in them.

3/5

Q4.How many squares does the next term in this sequence have?

26161921

4/5

Q5.What is the nth term of the sequence in the image?

5n - 4n + 54n - 35n - 3

5/5

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >

Quiz:

Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

Q1.Which definition best describes an arithmetic sequence?

1/5

Q2.Which of the following is NOT an arithmetic sequence?

-3, -1, 1, 3, 5, ...-2n - 40.5, 1.5, 2.5, 3.5, 4.5, ...2, 4, 8, 16, 32, ...

2/5

Q3.Which of the following statements is true?

3/5

Q4.How many squares does the next term in this sequence have?

26161921

4/5

Q5.What is the nth term of the sequence in the image?

5n - 4n + 54n - 35n - 3

5/5

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This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >

Quiz:

Finding the Term-to-Term Rule Quiz

Don’t worry if you get a question wrong! Forgetting is an important step in learning. We will recap next lesson.

Q1.Which best describes the term-to-term rule?

A rule which connects the position number to each term.A rule which illustrates how to get from one term to the next.A rule which gives us the nth term in the sequence.A rule which tells us the first term.

1/5

Q2.Which sequences starts at 2 and has a term-term-term rule of multiply by 3?

2, 4, 6, 8, 10, ...3, 6, 12, 24, 48, ...2, 5, 8, 11, 14, ...2, 6, 18, 54, 162, ...

2/5

Q3.Which sequence starts at -1 and has a term-to-term rule of multiply by -4?

-1, 4, -16, 64, -256, ...-1, -5, -9 -13, -17, ...-1, -4, -16, -64, -256, ...1, -4, 16, -64, 256, ...

3/5

Q4.What is the term-to-term rule of the sequence 60, 30, 15, 7.5, 3.75, ...?

Multiply the current term by 2.Multiply the current term by -2.Multiply the current term by 0.5.Subtract 30 from the current term.

4/5

Q5.What is the term-to-term rule of the sequence -2, 4, 16, 256, ...?

Multiply the current term by 2.Multiply the current term by -2.Add 6 to the current term.Square the current term.

5/5

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >

Quiz:

Finding the Term-to-Term Rule Quiz

Don’t worry if you get a question wrong! Forgetting is an important step in learning. We will recap next lesson.

Q1.Which best describes the term-to-term rule?

1/5

Q2.Which sequences starts at 2 and has a term-term-term rule of multiply by 3?

2, 4, 6, 8, 10, ...3, 6, 12, 24, 48, ...2, 5, 8, 11, 14, ...2, 6, 18, 54, 162, ...

2/5

Q3.Which sequence starts at -1 and has a term-to-term rule of multiply by -4?

-1, 4, -16, 64, -256, ...-1, -5, -9 -13, -17, ...-1, -4, -16, -64, -256, ...1, -4, 16, -64, 256, ...

3/5

Q4.What is the term-to-term rule of the sequence 60, 30, 15, 7.5, 3.75, ...?

Multiply the current term by 2.Multiply the current term by -2.Multiply the current term by 0.5.Subtract 30 from the current term.

4/5

Q5.What is the term-to-term rule of the sequence -2, 4, 16, 256, ...?

Multiply the current term by 2.Multiply the current term by -2.Add 6 to the current term.Square the current term.

5/5

Lesson summary: Finding the term-to-term rule

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This was the final lesson in the unit Sequences.

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