Number Series
Understand positions and terms in a number sequence, identify common step patterns, and use explicit, alternating, piecewise and recursive rules to generate terms.
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4 bilingual articles
Number Series: Patterns, Terms and the General Rule
Understand positions and terms in a number sequence, identify common step patterns, and use explicit, alternating, piecewise and recursive rules to generate terms.
Open article →Arithmetic Progression: Common Difference and nth Term
Recognise an arithmetic progression, calculate its common difference, find any position with the nth-term formula, and determine the number of terms in a finite AP.
Open article →Missing Terms in Number Series: AP Relationships
Recover missing arithmetic-progression terms using equal differences, position equations, middle-term symmetry and transformations that preserve an AP.
Open article →Arithmetic Series: Sum of n Terms and Checks
Distinguish a sequence from a series, apply both arithmetic-series sum formulas, recover a single term from partial sums and reject impossible term counts.
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