Sequences & Number Theory
Infinite Sequence Sum
Sum a convergent geometric series.
S∞ = a / (1 − r)
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Sequences & Number Theory
Investigate patterns, finite and infinite series, prime numbers, modular arithmetic, and scientific notation.
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Sequences & Number Theory
Sequences
Arithmetic and geometric terms and sums.
aₙ = a₁ + (n − 1)d or a₁rⁿ⁻¹
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Sequences & Number Theory
Prime Number Tester
Test an integer efficiently for primality.
n is prime when its only positive factors are 1 and n
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Sequences & Number Theory
Modulo and Remainder
Find the Euclidean quotient and nonnegative remainder.
a = bq + r, 0 ≤ r < b
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Sequences & Number Theory
Scientific Notation Converter
Convert scientific and ordinary notation.
N = a × 10ⁿ, 1 ≤ |a| < 10
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Sequences & Number Theory
Sum of a Series
Arithmetic, geometric, infinite, or explicit sums.
Sₙ = Σaₖ
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Sequences & Number Theory
Simplifying Square Roots
Reduce radicals to exact simplest form.
√n = a√b
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Sequences & Number Theory
Fibonacci Sequence
Generate Fibonacci terms and find an exact nth term.
Fₙ = Fₙ₋₁ + Fₙ₋₂
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Sequences & Number Theory
Pythagorean Triples
Test or generate integer right-triangle triples.
a² + b² = c²
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Sequences & Number Theory
Iteration Calculator
Apply a safely parsed recurrence to a starting value.
xₙ₊₁ = f(xₙ)
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