# Arithmetic Sequences Calculator

Instructions: This algebra calculator will allow you to compute elements of an arithmetic sequence. You need to provide the first term of the sequence ($$a_1$$), the difference between two consecutive values of the sequence ($$d$$), and the number of steps ($$n$$). Please provide the information required below: First term ($$a_1$$) Difference ($$d$$) Num. of steps ($$n$$)

#### What is an Arithmetic Sequence?

Learn more about arithmetic sequences so you can better interpret the results provided by this calculator: An arithmetic sequence is a sequence of numbers $$a_1, a_2, a_3, ....$$ with the specific property that the difference between two consecutive terms of the sequence is ALWAYS constant, equal to a certain value $$d$$. The value of the $$n^{th}$$ term of the arithmetic sequence, $$a_n$$ is computed by using the following formula:

$a_n = a_1 + (n-1)d$

This means that in order to get the next element in the sequence we add $$d$$, to the previous one. So then, the first element is $$a_1$$, the next one is $$a_1 + d$$, the next one is $$a_1 + d + d$$, which can be rewritten as $$a_1 + 2d$$, etc.

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