Updated Math Sequence Tool

Sequence Sum Calculator

Compute sums of arithmetic and geometric sequences, custom series and partial sums. Get nth terms, total sums and detailed tables for study, homework or quick checks.

Arithmetic Sequence Sums Geometric Sequence Sums Custom Series Analyzer Partial Sum Tables

Interactive Sequence Sum Calculator

Use the tabs to work with arithmetic sequences, geometric sequences, custom lists of numbers and sequence tables with partial sums. This helps you see how formulas and actual term-by-term calculations match up.

Limits how many terms are listed in the arithmetic sequence table.

This mode uses the standard formulas aₙ = a₁ + (n − 1)d and Sₙ = n/2 · (2a₁ + (n − 1)d) for an arithmetic sequence with n terms.

Geometric sequences can grow quickly. Limit the number of terms listed for readability.

This mode uses aₙ = a₁ · rⁿ⁻¹ and Sₙ = a₁ · (1 − rⁿ) / (1 − r) when r ≠ 1. For r = 1, the sum is simply n · a₁.

Separate numbers with commas, spaces or line breaks. The calculator ignores empty entries.

This mode does not assume any particular pattern. It simply parses the numbers you enter and computes their sum, average and partial sums.

Choose arithmetic or geometric, then generate a table of terms and partial sums for the first n terms. This is useful for visualizing patterns and checking homework.

What Sequence Sum Calculator Calculates

Use Sequence Sum Calculator to compute sums of arithmetic and geometric sequences, custom series and partial sums.

Related tools in this category are listed under Math Calculators.

Sequence Sum Calculator Inputs

Sequence Sum Calculator uses First term a₁, Number of terms n, Common difference d, Decimal places, Maximum terms in table.

Sequence Sum Calculator Formula or Method

  • Sum of first n terms (r = 1): Sₙ = n · a₁
  • The calculator uses the standard formulas:
  • The calculator uses these formulas for geometric sequences:

Reading Sequence Sum Calculator Results

The results include nth term aₙ, Sum of n terms Sₙ, First term a₁, Common difference d, Common ratio r, Number of terms.

Alongside Sequence Sum Calculator, use Number Sequence Calculator to work with arithmetic and geometric sequences, Fibonacci-style sequences, series sums, and basic pattern detection for your number lists.

For a different result from Sequence Sum Calculator, Fibonacci Sequence Calculator can compute the nth Fibonacci number with fast BigInt arithmetic, generate Fibonacci sequences and sums.

Calculators Related to Sequence Sum Calculator

After checking Sequence Sum Calculator, use Summation Calculator to evaluate finite and infinite sums in Σ notation. Work with arithmetic and geometric series, special sums like n, n², n³. When you need to analyze datasets with arithmetic mean, weighted mean, geometric mean, harmonic mean, trimmed mean, frequency and grouped mean, use Mean Calculator. Series Convergence Calculator covers a separate task: analyze infinite series using multiple numeric tests. Enter the general term a n, and this calculator estimates convergence or divergence with n-th term.

After checking Sequence Sum Calculator, use Geometric Distribution Calculator to compute probabilities for the geometric distribution using both definitions: failures before the first success and trial number of the first success. When you need to perform binary arithmetic, convert between binary, decimal, hex, and octal, run bitwise operations, and interpret signed vs unsigned values in one tool, use Binary Calculator. Hex Calculator covers a separate task: convert between hex, decimal, binary, and octal, run hex arithmetic and bitwise logic, and decode color hex codes to RGB and HSL.

After checking Sequence Sum Calculator, use Modular Arithmetic Calculator to compute remainders, modular operations, modular exponentiation, inverses, greatest common divisors, solve linear congruences.

Frequently Asked Questions About Sequence Sum Calculator

It is used to compute sums of arithmetic and geometric sequences, custom series and partial sums.

It uses First term a₁, Number of terms n, Common difference d, Decimal places, Maximum terms in table.

Sequence Sum Calculator uses Sum of first n terms (r = 1): Sₙ = n · a₁.

It returns nth term aₙ, Sum of n terms Sₙ, First term a₁, Common difference d, Common ratio r, Number of terms.

Check First term a₁, Number of terms n, Common difference d first. Differences can also come from rounding, unit choices, or a different formula or rule set.