What are Sequence and Series? A sequence is a structured arrangement of numbers, where each number is called a term. Typically, terms in a sequence are denoted as ai or an, with the index letter i or ...

The binomial transform is a transformation that takes a sequence as an input and gives another sequence as an output according to a certain rule. As an example, we have that the binomial transform of ...

You will need to be confident with arithmetic sequences and the 𝑛th term rule to understand these other types of sequences. A geometric sequence contains numbers that are multiplied by a certain ...

Between each pair of terms in this sequence is the amount the sequence is decreasing by. The 𝒏th term refers to a term's position in the sequence, for example, the first term has 𝒏 = 1, the second ...

A UNSW Sydney mathematician has discovered a new method to tackle algebra's oldest challenge—solving higher polynomial equations. Polynomials are equations involving a variable raised to powers, such ...

A mathematician has built an algebraic solution to an equation that was once believed impossible to solve. The equations are fundamental to maths as well as science, where they have broad applications ...