Each term in this sequence is doubling (multiplying by 2) to create the next term. Number sequences are sets of numbers that follow a pattern or a rule. If the rule is to multiply or divide by a ...

A pattern or a sequence is a set of numbers that are connected in some way. All sequences have a rule. For example, sometimes the numbers might count on by 5 each time, other times they might be ...

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 ...

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, ...

Proceedings of the American Mathematical Society, Vol. 102, No. 3 (Mar., 1988), pp. 473-479 (7 pages) We present criteria for irrationality of limits of convergent sequences of rational numbers, ...