If the \(n\)th term of a quadratic sequence is known, we can work out the terms in that sequence and also use knowledge of solving equations to determine if a specified number is a term in the ...

Terms of a quadratic sequence can be worked out in the same ... put the nth term equal to the number and solve the equation. \(\begin{array}{ccc} 4n + 2 & = & 14 \\ -2 && -2 \end{array}\) ...

A UNSW Sydney mathematician has discovered a new method to tackle algebra's oldest challenge—solving higher polynomial equations.

These sequences belong to combinatorics ... “The Catalan numbers are understood to be intimately connected with the quadratic equation. Our innovation lies in the idea that if we want to ...