1 Sharamar

My Maths Cheats For Homework Nth Term Rule

Related Topics:
More Math Worksheets


Objective: I know how to find the pattern and the nth term of a sequence.


Fill in all the gaps, then press "Check" to check your answers. Use the "Hint" button to get a free letter if an answer is giving you trouble. You can also click on the "[?]" button to get a clue. Note that you will lose points if you ask for hints or clues!

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.

[?] Subscribe To This Site

Finding the nth term

Sometimes, rather than finding the next number in a linear sequence, you want to find the 41st number, or 110th number, say.

Writing out 41 or 110 numbers takes a long time, so you can use a general rule.

To find the value of any term in a sequence, use the nth term rule.


What is the nth term of this sequence?


1st = 5 (5 × 1); 2nd = 10 (5 × 2); 3rd = 15 (5 × 3)

So the nth term is 5 × n or 5n

For example, to find the 10th term, work out 5 × 10 = 50. To find the 7th term, work out 5 × 7 = 35

So the 41st term is 5 × 41 = 205 and the 110th term is 5 × 110 = 550


What are the nth term and the 10th term of this sequence: 2, 4, 6, ... ?


nth term = 2n

10th term = 20. To work this out, n = 10, so 2n = 2 × 10 = 20

More from Algebra

Leave a Comment


Your email address will not be published. Required fields are marked *