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.

Nth term of an arithmetic and geometric sequence

0 1 2 3 4 5 6 7 8 9 - / . , del

First terms of a sequence

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Find expression for the nth term (default)

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examples

example 1:

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

example 2:

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

example 3:

What is the value of x? $$ \frac{2}{3}, 1, \frac{3}{2}, \frac{9}{4}, x $$

example 4:

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

example 5:

What is the $n^{th}$ term of the sequence? $$ \frac{5}{2}, 5, 10, 20, . . . $$

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Nth term of an arithmetic or geometric sequence