The calculator of sequence makes it possible to calculate online the terms of the sequence, defined by recurrence and its first term, until the indicated index.

recursive_sequence online

The calculator is able to **calculate online the terms of a sequence defined by recurrence** between two of the indices of this sequence.

It is also possible to calculate the elements of a numerical sequence when it is explicitly defined .

The calculator is able to calculate the **terms of a sequence defined by recurrence** between two indices of this sequence.

Thus, to obtain the **elements of a sequence** defined by
`u_(n+1)=5*u_n` and `u_0=2`, between 1 and 4 , enter :
recursive_sequence(`5x;2;4;x`) after calculation, the result is returned.

The calculator is able to calculate the **terms of an arithmetic sequence** between two indices of this sequence
, from the first term of the sequence and a recurrence relation.

Thus, to obtain the **terms of an arithmetic sequence defined by recurrence** with the relation `u_(n+1)=5*u_n` et `u_0=3`, between 1 and 6
enter :
recursive_sequence(`5*x;3;6;x`) after calculation, the result is returned.

The calculator is able to calculate the **terms of a geometric sequence** between two indices of this sequence,
from a relation of recurrence and the first term of the sequence.

Thus, to obtain the **terms of a geometric sequence** defined by
`u_(n+1)=3*u_n` and `u_0=2`, between 1 and 4 , enter :
recursive_sequence(`3*x;1;4;x`) after calculation, the result is returned.

The calculator is able to calculate the sum of the terms of a sequence between two indices of this series, it can be used in particular to calculate the partial sums of some series. .

recursive_sequence(expression;first_term;upper bound;variable)

This example shows how to calculate the first terms of a geometric sequence defined by recurrence. `u_(n+1)=4*u_n` and `u_0=-1` recursive_sequence(`4*x;-1;3;x`)

Calculate online with recursive_sequence (recursive sequence calculator)
See also

- Calculate product elements of sequence : product. Product function calculates online the product of the terms of the sequence whose index is between the lower and the upper bound.
- Calculate sum elements of sequence : sum. Series calculator allows to calculate online the sum of the terms of the sequence whose index is between the lower and the upper bound.
- Sequence calculator : sequence. Sequence calculator allows to calculate online the terms of the sequence whose index is between two limits.
- Recursive sequence calculator : recursive_sequence. The calculator of sequence makes it possible to calculate online the terms of the sequence, defined by recurrence and its first term, until the indicated index.

- Terms of a numerical sequence defined by recurrence with a linear function : The purpose of this exercise on numerical sequences is to calculate terms of a sequence defined by recurrence with a linear function.
- Terms of a numerical sequence defined by recurrence with a quadratic function : The purpose of this exercise on numerical sequences is to calculate terms of a sequence defined by recurrence with a quadratic function.

Course reminders, calculators, exercises and games : Numerical sequences