Monday, 2 May 2016

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?
nth term, common difference of positive 5: 5, 10, 15
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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