N^th term of an arithmetic or geometric sequence

The main purpose of this calculator is to find expression for the n^th term of a given sequence. Also, it can identify if the sequence is arithmetic or geometric. The calculator will generate all the work with detailed explanation.

N^th term of an arithmetic and geometric sequence

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Select what you have:

Input first few terms of a sequence

Example:

2,3,9/2,27/4

Input general term of a sequence

$ a_n = $

Example:

2n+3/n

Choose what to compute:

Find expression for the nth term (default)

Identify sequence

Find next term

Find first terms

Find th term

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Examples

ex 1:

Determine if a sequence is arithmetic or geometric : 1, 2, 4, 8, ....

ex 2:

What is the next term in the following sequence : 1, 5, 9, 13, ...

ex 3:

What is the value of x? 2/3, 1, 3/2, 9/4, x

ex 4:

What is the $n^{th}$ term of the sequence? 2, 6, 10, 14, 18, ...

ex 5:

Find the general expression for the arithmetic sequence? 5/2, 5, 10, 20,...

ex 6:

Find the first five terms of the sequence where a_n = 2n²-1/n.

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Nth term of an arithmetic or geometric sequence

N^th term of an arithmetic or geometric sequence