Number Sequences Guides
Identifying patterns in numerical sequences including arithmetic, geometric, and complex patterns
Arithmetic Sequence
A sequence where each term differs from the previous by a constant amount (common difference).
View Guides →Geometric Sequence
A sequence where each term is found by multiplying the previous term by a constant (common ratio).
View Guides →Fibonacci-Type Sequence
A sequence where each term is the sum of the two preceding terms.
View Guides →Difference Method
A systematic technique for identifying sequence patterns by calculating differences between consecutive terms.
View Guides →Second Differences
A pattern where the differences between consecutive terms form their own arithmetic sequence.
View Guides →Interleaved Sequences
Two or more independent sequences alternating within a single series.
View Guides →Compound Rules
Sequences that combine multiple operations (like add then multiply) to generate each term.
View Guides →Cube Numbers
Numbers of the form n³, produced by multiplying an integer by itself three times.
View Guides →Digit Sum
The sum of the base-10 digits of an integer, used to generate or recognize sequences.
View Guides →Factorial Sequence
Values of n! = n × (n−1) × ... × 2 × 1 that grow extremely quickly.
View Guides →Look-and-Say Sequence
Each term describes the previous term by counting runs of identical digits.
View Guides →Modular Pattern
Sequences where terms repeat cyclically according to arithmetic modulo a fixed number.
View Guides →Prime Numbers
Positive integers greater than 1 that have no divisors other than 1 and themselves.
View Guides →Square Numbers
Numbers of the form n², produced by multiplying an integer by itself.
View Guides →Triangular Numbers
Sums 1 + 2 + 3 + ... + n that count objects arranged in a triangle.
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