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A Quadratic Sequence is when the difference between two terms changes each step. However the secondary difference (the difference between each primary difference.) is always the same.

E.G.

6 9 14 21

+3 +5 +7 primary difference.(changes)

+2 +2 secondary difference(stays the same)

this is not a linear sequence in which the primary difference stays the same.

another way to visualise this is on a graph. if you plotted a quadratic sequence onto a graph there would be a curve. a linear sequence would be a straight line.

hope this helps. Thanks To harisdagr8 for his help.

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Q: What is A Quadratic Sequence?
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