Sequences and Series Calculators

Find the nth term and partial sum of arithmetic sequences. Enter the first term and common difference — see any term, the sum formula, and pattern. Free.

Find the nth term and partial sum of a geometric sequence. Enter first term and ratio — see any term, sum of n terms, and convergence. Free.

Calculate the sum of arithmetic, geometric, and other series. Enter the series parameters — see partial sums, formula, and convergence analysis. Free.

Generate the Fibonacci sequence to any length. See formula, step-by-step solution and all rearrangements. Instant math solver.

Generate and analyse recursive sequences. Enter the recurrence relation and initial values — see the first n terms and convergence behaviour. Free.

Expand any binomial expression using the theorem. Step-by-step solution with formula, example dataset and interpretation guide.

Find the radius of convergence for any power series. Enter the series — see the interval of convergence with ratio and root test methods. Free.