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In the case of an arithmetic sequence (where the difference between each number is constant), the expression used for the “nth term” (or general formula for the sequence) is always: dn + zero term
Where “d” is the difference between each term 
And the “zero term” is the first term minus the difference (what term number zero would be). 
So for example 
3,5,7,9....
= 2n+1
1,2,3,4,5.....
=n
This general formula you find can then be used to find, say, the hundredth term in a sequence even though you were only given a few terms at first.

Maths

How can I find the recursive formula for the general formula of a sequence?

Sam Doughty

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Sam Doughty