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

The first term is in position 1, the second term is in position 2 and so on. Position to term rules use algebra to work out what number is in a sequence if the position in the sequence is known.

For example, 3, 5, 7, 9… is a sequence starting with 3 and increasing by 2 each time. Look at the difference between one term and the next in the sequence. The numbers in this sequence are ...

The polynomial problem Solutions to degree-two polynomials have ... geometric relationships. These sequences belong to combinatorics, a branch of mathematics that deals with number patterns ...