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Nth term of an arithmetic or geometric sequence

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The main purpose of this calculator is to find expression for the nth 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
help ↓↓ examples ↓↓
2, 3, 9/2, 27/4
2n + 1/n
Find expression for the nth term (default)
Identify sequence
Find next term
Find first terms
Find th term
Hide steps
working...
examples
example 1:ex 1:
Determine if a sequence is arithmetic or geometric : $ 1, 2, 4, 8, ... $.
example 2:ex 2:
What is the next term in the following sequence : $ 1, 5, 9, 13, ... $
example 3:ex 3:
What is the value of x? $$ \frac{2}{3}, 1, \frac{3}{2}, \frac{9}{4}, x $$
example 4:ex 4:
What is the $n^{th}$ term of the sequence? $$ 2, 6, 10, 14, 18, ...$$
example 5:ex 5:
Find the general expression for the arithmetic sequence? $$ \frac{5}{2}, 5, 10, 20, . . . $$
example 6:ex 6:
Find the first five terms of the sequence where $ a_n = 2 n^2 - \dfrac{1}{n} $.
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