Sequences

General term of a sequence

Types of exercises: term of a sequence from its formula, which term of a sequence has a given value.

Exercises are drawn at random from a large bank - every click gives a different set.

Solved: 0 of 10

1

Which term of this sequence equals 26?

aₙ = n² − 8n − 7

2

Compute the indicated term of the sequence

aₙ = −4n² − 12n + 11, a₆ = ?

3

Which term of this sequence equals 56?

aₙ = n² − 3n + 2

4

Compute the indicated term of the sequence

aₙ = 2n² − 2n − 14, a₃ = ?

5

How many terms of this sequence are positive?

aₙ = −4n + 34

6

Compute the indicated term of the sequence

aₙ = 12n + 2, a₁₁ = ?

7

Which term of this sequence equals −3?

aₙ = 3n − 18

8

Compute the indicated term of the sequence

aₙ = −2n² + 5n + 2, a₅ = ?

9

Which term of this sequence equals 38?

aₙ = n + 20

10

Compute the indicated term of the sequence

aₙ = 5n − 13, a₇ = ?

This address is one particular set - everyone who opens it gets exactly the same exercises. Copy the link from the address bar and send it to the class. You can generate a new set at the top of the page.

PhiBoard is a free online whiteboard for maths

These exercises are part of it. On the board itself you can plot a function, write a formula in LaTeX, or solve a problem together with a teacher or a friend - live, in the browser. Our app is completely free.

Create a free account
See what the board can do
PhiBoard

A modern, interactive board for study and work. Create, teach and collaborate - completely free.

PhiBoard

Tools

Capabilities

Knowledge base

Support

FAQ

Our mission

Contact

More

Our goalFor schoolsNewsOur coursesExercise bankWorksheets

Documents

TermsPrivacy policy

office@phiboard.com

Support the project

© 2026 PhiBoard. All rights reserved.

Online math whiteboardOnline tutoring whiteboardWhiteboard for teachersFunction graphs online

We Use Cookies

To improve the quality of our services, we use cookies. Cookies help us tailor our website to your preferences, analyze how you use the site, and provide a better user experience. By accepting cookies, you consent to their use for optimizing functionality and content on the site.

We use cookies to keep the site working and to improve it. Choose which ones you accept.

General term of a sequence - exercises with solutions (Sequences) | PhiBoard