Skip to main content
Back

Convergence Tests definitions

Control buttons has been changed to "navigation" mode.
1/15
  • Sequence
    An ordered list of numbers generated by a specific formula, where each entry corresponds to a particular value of an index.
  • Term
    A single entry in an ordered list, often found by substituting a value into a defining formula.
  • Factorial
    A product of all positive integers up to a given number, with zero yielding a value of one.
  • Zero Factorial
    A special case in products of integers, always equal to one, regardless of the absence of factors.
  • Index
    A variable representing the position of an entry in an ordered list, typically denoted by n.
  • Formula
    A mathematical expression used to generate each entry in an ordered list based on the index.
  • Product
    A result obtained by multiplying two or more numbers or expressions together.
  • Exponent
    A notation indicating repeated multiplication of a number by itself, as seen in squared values.
  • Combinatorics
    A mathematical field focused on counting, arrangement, and combination of objects, often using factorials.
  • Probability
    A branch of mathematics dealing with the likelihood of events, frequently involving factorials in calculations.
  • Natural Numbers
    A set of positive integers starting from one, commonly used as indices in ordered lists.
  • Substitution
    A process of replacing a variable in an expression with a specific value to compute a result.
  • Simplification
    A process of reducing a mathematical expression to its most basic or easily understood form.
  • Entry
    A value occupying a specific position in an ordered list, determined by the index and formula.
  • Calculation
    A process involving arithmetic operations to determine the value of an expression or entry.