-5 -4 -1 4 11 20 31
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2 Answers

The differences between each pair have the sequence 1, 3, 5, 7,...

The sum of these are the squares of the natural numbers: 1, 4, 9, 16,...

Take the first few of numbers in the series: -5, -4, -1, 4.

-5+0=-5; -5+1=-4, -5+4=-1, -5+9=4.

So the nth term is -5+(n-1)². We could use this formula.

We can expand this. -5+n²-2n+1=n²-2n-4, so we could use this equivalent formula. Example: put n=7, then we have -5+36=31, or 49-14-4=31 as the 7th term.

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What is the Nth term for 5,4,1,4,11,20,31

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