Sequence Calculator

Calculate arithmetic and geometric sequences with ease. Find specific terms, compute sums, and visualize sequence patterns for both arithmetic and geometric progressions.

Sequence Type

First Term (a₁)

Common Difference (d)

Find nth Term (n)

Sum of First n Terms

How to Use

Select Sequence Type: Choose between arithmetic or geometric sequences
First Term: Enter the starting value of your sequence
Common Difference/Ratio: For arithmetic sequences, enter the difference between consecutive terms. For geometric sequences, enter the ratio
nth Term: Specify which term position you want to calculate
Sum Calculator: Enter how many terms you want to sum from the beginning

Understanding Sequences

Arithmetic Sequences: Each term is obtained by adding a constant value (common difference) to the previous term. Formula: aₙ = a₁ + (n-1)d

Geometric Sequences: Each term is obtained by multiplying the previous term by a constant value (common ratio). Formula: aₙ = a₁ × r^(n-1)

Common Applications

Financial calculations and interest computations
Physics problems involving motion and progression
Computer science algorithms and data structures
Pattern recognition and mathematical analysis
Population growth and decay models