Manuals/calci/ARITHMETICSERIES

ARITHMETICSERIES (Start,Difference,Numbers,OnlyNth)

• $Start$ is the starting value
• $Difference$ is the difference value of the series.
• $Numbers$ is the positive real number.

Description

• This function gives the Arithmetic series of the numbers.
• An arithmetic series is the sum of a sequence {a_k}, k=1, 2, ..., in which each term is computed from the previous one by adding (or subtracting) a constant d.
• Therefore, for k>1,

$a_{k}=a_{(k-1)}+d=a_{(k-2)}+2d=...=a_{1}+d(k-1)$.  

• The sum of the sequence of the first n terms is then given by

$S_{n}=sum_{(k=1)}^{(n)}a_{k}$