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.
- Question
- What is the nth term of this sequence?
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
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