Beta version#
BETA TEST VERSION OF THIS ITEM
This online calculator is currently under heavy development. It may or it may NOT work correctly.
You CAN try to use it. You CAN even get the proper results.
However, please VERIFY all results on your own, as the level of completion of this item is NOT CONFIRMED.
Feel free to send any ideas and comments !
This online calculator is currently under heavy development. It may or it may NOT work correctly.
You CAN try to use it. You CAN even get the proper results.
However, please VERIFY all results on your own, as the level of completion of this item is NOT CONFIRMED.
Feel free to send any ideas and comments !
Symbolic algebra
ⓘ Hint: This calculator supports symbolic math. You can enter numbers, but also symbols like a, b, pi or even whole math expressions such as (a+b)/2. If you still don't sure how to make your life easier using symbolic algebra check out our another page: Symbolic calculations
What do you want to calculate today?#
Choose a scenario that best fits your needs 
Calculations data  enter values, that you know here#
The nth element of the sequence ($a_n$)  =>  
Common difference of arithmetic sequence (d) (the difference of successive sequence elements: $a_{n+1}  a_n$)  <=  
The first element of the sequence ($a_1$)  <=  
N  <= 
Result: the nth element of the sequence ($a_n$)#
Summary  
Used formula  Show source$a_n=a_1+\left(n1\right) \cdot d$  
Result  Show source$1$  
Numerical result  Show source$1$  
Result step by step  
 
Numerical result step by step  

Some facts#
 The arithmetic sequence is the sequence in which each successive element differs from the previous one by a fixed value d:
$a_{n+1} = a_n + d$where:
 $a_n$  arbitrarily selected term,
 $a_{n+1}$  the term just after $a_n$,
 $d$  common difference of arithmetic sequence.
 $a_n$  arbitrarily selected term,
 The above formula should be understood as follows: if I know some element of the arithmetic sequence ($a_n$) and its difference ($r$), then I can calculate the next one ($a_{n + 1}$).
 The above formula can be also formulated as below:
$a_{n} = a_{n1} + d$where:
 $a_n$  arbitrarily selected term (except the first one: $n \neq 1$),
 $a_{n1}$  the term just before $a_n$,
 $d$  the common difference of arithmetic sequence.
 $a_n$  arbitrarily selected term (except the first one: $n \neq 1$),
 Above alternative formula should be understood as follows: if I want to calculate some selected element of the arithmetic sequence ($a_{n}$), then I need to know the previous one ($a_{n1})$) and the common difference ($d$).
 It is worth noting that the second formula does not work for the first element ($a_1$). This is because the first term as the only one does not have the previous element.
 In order to uniquely define the arithmetic sequence, it is enough to know two values:
 the first term $a_1$,
 and the difference between two consecutive terms $d$, so called common difference of arithmetic sequence:
$d = a_{n+1}  a_n$
 the first term $a_1$,
 Arithmetic sequence is sometimes called an arithmetic progression.
 If you are interested in the properties of sequences, then you can check out our other calculators:
Tags and links to this website#
Tags:
arithmetic_sequence · arithmetic_progression · sum_of_arithmetic_sequence · common_difference_of_arithmetic_sequence · nth_term_of_arithmetic_progression
Tags to Polish version:
What tags this calculator has#
Permalink#
This is permalink. Permalink is the link containing your input data. Just copy it and share your work with friends: