Arithmetic, geometric, Fibonacci, Taylor series, and summation calculators.
Most used tools
Find the nth term of an arithmetic sequence given the first term and common difference.
Find the nth term of a geometric sequence given the first term and common ratio.
Calculate the sum of the first n terms of an arithmetic sequence.
Find the nth number in the Fibonacci sequence (0, 1, 1, 2, 3, 5, 8, ...).
Recently popular tools
Find the nth term of a geometric sequence given the first term and common ratio.
Calculate the sum of an infinite geometric series when |r| < 1.
Find the nth number in the Fibonacci sequence (0, 1, 1, 2, 3, 5, 8, ...).
15 tools available
Find the nth term of an arithmetic sequence given the first term and common difference.
Find the nth term of a geometric sequence given the first term and common ratio.
Calculate the sum of the first n terms of an arithmetic sequence.
Find the sum of the first n terms of a geometric sequence.
Calculate the sum of an infinite geometric series when |r| < 1.
Find the nth number in the Fibonacci sequence (0, 1, 1, 2, 3, 5, 8, ...).
Generate terms of an arithmetic or geometric sequence with custom parameters.
Calculate 1 + 2 + 3 + ... + n using the formula n(n+1)/2.
Calculate 1² + 2² + 3² + ... + n² using the formula n(n+1)(2n+1)/6.
Calculate 1³ + 2³ + 3³ + ... + n³ using the formula [n(n+1)/2]².
Evaluate partial sums of telescoping series and see term cancellation.
Evaluate a power series Σ cₙxⁿ at a given value of x.
Approximate functions using Taylor series about a given center point.
Approximate functions using Maclaurin series (Taylor series at a = 0).
Determine if a sequence converges or diverges and find its limit.
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Our sequences & series calculators provide accurate, instant results for students, teachers, and professionals. Each calculator uses mathematically verified formulas and handles edge cases like invalid inputs, division by zero, and overflow conditions.
Whether you need to solve equations, compute integrals, find prime factors, or convert between number bases, our sequences & series tools deliver reliable results with step-by-step explanations to help you understand the underlying mathematics.
