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Question by filler03 · Nov 24, 2012 at 09:33 PM · functionmathpatternalgebra

How do you make an algebra function for this pattern?

The pattern goes like this: 1,3,6,10,15,21,28,etc. Start with 1, add 2, add 3, etc.

I need a function that could find the value given the position in the pattern. In this example an input of 4 would have an output of 10 since 10 is the value of the 4th position.

Any help on this would be greatly appreciated.

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Answer by adrenak · Nov 25, 2012 at 10:17 PM

This is the function that you are looking for :

nth term = n*(n+1)/2

4th term = 4*(4+1)/2 = 10

-Vatsal

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