# Level 5-6 Algebra - nth Term

You'll have found by now that algebra forms a major part of KS3 Maths. In algebra letters are used in place of numbers. The letter *n* (usually in italics) is often used to indicate the position of a term in a sequence. We call this the '*n*th' term.

Finding the rule for a number pattern is usually quite easy but can sometimes be a bit harder. One famous pattern is the Fibonacci sequence. This describes a spiral pattern and is very common in nature. The rule for the Fibonacci sequence is to add the previous two numbers to find the next. The *n*th term for this would be... advanced mathematics. Don't worry about that just yet!

Here's an easier example. If a sequence begins with 5 and goes up in twos thereafter, the *n*th term of that sequence would be 2n + 3 (2 x 1 + 3 = 5, 2 x 2 + 3 = 7, 2 x 3 + 3 = 9 etc.). This can be a little difficult to grasp but work through this quiz (and read the helpful comments!) and you will soon get the idea.

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