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Professional number sequence calculator for arithmetic, geometric, Fibonacci & custom sequences. Developed by mathematics experts. Find patterns, next terms & sum instantly with step-by-step solutions.
Each term differs by a constant value. Formula: aā = aā + (n-1)d. Example: 2, 5, 8, 11, 14... (d = 3)
Each term is multiplied by a constant ratio. Formula: aā = aā Ć r^(n-1). Example: 2, 6, 18, 54... (r = 3)
Each term is the sum of previous two. Formula: Fā = Fāāā + Fāāā. Example: 0, 1, 1, 2, 3, 5, 8, 13...
Compound interest, loan payments, investment growth calculations.
Algorithm analysis, data structures, complexity calculations.
Fibonacci in flower petals, pine cones, shell spirals, tree branches.
Population growth, radioactive decay, wave patterns, physics.
Design proportions, structural patterns, golden ratio applications.
Rhythm patterns, frequency ratios, harmonic series in sound.
Cell division, population dynamics, genetic patterns.
Inflation rates, GDP growth, market trends analysis.
Choose from Arithmetic (+d), Geometric (Ćr), Fibonacci (Fā), or Custom (analyze your own sequence).
For arithmetic/geometric: enter first term, common difference/ratio, and number of terms. For custom: enter your sequence (comma-separated).
Specify which term position you want to calculate (e.g., 20th term, 50th term, etc.).
Click Calculate to get the complete sequence, next terms, nth term, sum, formula, and step-by-step solution.
Calculate the difference between consecutive terms:
Calculate the ratio between consecutive terms:
Check if each term equals sum of previous two:
Check if terms are powers, squares, or cubes:
Curated by mathematics educators. These trusted resources provide additional learning materials for students and professionals.
About This Calculator: Developed and maintained by CalcFinex Math Team. Our calculators are used by students, educators, and professionals worldwide. All formulas are verified against standard mathematical references.