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Manuals/calci/ARITHMETICSERIES (view source)
Revision as of 20:18, 22 September 2016
, 20:18, 22 September 2016no edit summary
<div style="font-size:30px">'''ANGLE (deg,by,till)'''</div><br/>
<div style="font-size:30px">'''ARITHMETICSERIES (Start,Difference,Numbers,OnlyNth)'''</div><br/>
*<math>deg</math> is the starting angle value in degree
*<math>Start</math> is the starting value
*<math> by </math> is the skip value.
*<math> Difference </math> is the difference value of the series.
*<math>Numbers</math> 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,
<math>a_{k}=a_{(k-1)}+d=a_{(k-2)}+2d=...=a_{1}+d(k-1)</math>.
*The sum of the sequence of the first n terms is then given by
<math>S_{n} = sum_{(k=1)}^{(n)}a_{k}</math>