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.
Chat with our AI personalities
No. It is a sequence for which the rule is a quadratic expression.
No.
A quadratic sequence is when the difference between two terms changes each step. To find the formula for a quadratic sequence, one must first find the difference between the consecutive terms. Then a second difference must be found by finding the difference between the first consecutive differences.
fsedaz sd
Unless the operands form an arithmetic sequence, it is not at all simple. That means the difference between successive points must be the same. If that is the case and the SECOND difference in the results is constant then you have a quadratic.