The formula solved for [tex]\rm a_n[/tex] is [tex]\rm a_n = \dfrac{2S-a_{1}n}{n}[/tex]
What is an Arithmetic Sequence ?
An arithmetic sequence is an ordered set of numbers that have a common difference between each consecutive term.
An arithmetic sequence can be defined by an explicit formula in which an = d (n - 1) + c, where d is the common difference between consecutive terms, and c = a₁.
[tex]\rm S= \dfrac{n(a_{1}+a_n)}{2}\\2S = n(a_{1}+a_n)}}\\\\2S / n = a_1+ a_n\\\\(2S / n) - a_1 = a_n\\\\\\a_n = \dfrac{2S-a_{1}n}{n}[/tex]
Therefore the formula solved for [tex]\rm a_n[/tex] is [tex]\rm a_n = \dfrac{2S-a_{1}n}{n}[/tex]
To know more about Arithmetic sequence
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