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Glite Dictionary
🔍 From examples 🔌 By magnetic induction ➕ By induction
inductively

inductively

1 8.7
By proving it for the first number and then for each next number
  • adverb
  • /ɪnˈdʌktɪvli/
  • Specialized
: inductivamente
  • You can show that the property holds for all numbers inductively by following the standard steps.

Examples

  • The mathematician proved the formula inductively, starting with the simplest case and building up.

  • The theorem was proven inductively by establishing a base case.

  • The sequence was analyzed inductively to confirm the pattern for every natural number.

  • We can solve this problem inductively to find a general formula.

  • In mathematics, we can prove the formula for the sum of the first n natural numbers inductively by showing it holds for the base case and then for n+1.

  • The team used an inductively defined process to demonstrate the properties of the sequence across all natural numbers.

  • To solve the problem, she approached it inductively, proving a simple case and gradually building up to the general solution.

Surface Forms

inductively positive

Morphology

inductively = inductive (semi-transparent) = induct + ive + ly

Built from 'inductive' + '-ly', but the mathematical 'induction' procedure is a specialized technical meaning that may not be apparent to general learners.

Etymology

The word inductively comes from Latin in- 'into' and ducere 'to lead', the same root as conduct. In math, a proof done inductively 'leads' from a simple first case step by step to all numbers, which is why we call that method inductive.