Number Sequence Calculator

Generate and analyze number sequences: arithmetic, geometric, Fibonacci, primes, and more. Find patterns and formulas.

Find term

Term #100

199

Sequence

135791113151719

Formula for nth term

aₙ = 1 + 2(n-1)

Sum of sequence

100

Number of terms

10

Visualization

20,915,67510,455,2250

Sequence Analysis

First term

1

Last term

19

Average

10

Range

18

Arithmetic Sequences

In an arithmetic sequence, each term is obtained by adding a constant difference to the previous one. Formula: aₙ = a₁ + (n-1)d, where d is the common difference.

Geometric Sequences

In a geometric sequence, each term is obtained by multiplying the previous one by a constant ratio. Formula: aₙ = a₁ × r^(n-1), where r is the common ratio.

Special Sequences

The Fibonacci sequence (each term is the sum of the two previous) appears in nature. Prime, triangular, and square numbers have important mathematical properties.