# Difference between revisions of "Manuals/calci/ARITHMETICSERIES"

ARITHMETICSERIES (Start,Difference,Numbers,OnlyNth)

• is the starting value
• is the difference value of the series.
• 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,
.

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

## Examples

1. ARITHMETICSERIES(10,3,6) = 10 13 16 19 22 25
2. ARITHMETICSERIES(200,13/7,5) = 200 201.85714285714286 203.71428571428572 205.57142857142858 207.42857142857142
3. ARITHMETICSERIES(33,-7,8) = 33 26 19 12 5 -2 -9 -16
4. Sn=(a,r,n) => a*(1-r^n) / (1- r); Sn(1,4,5) = 341
5. Sn=(a,r,n) => a*(1-r^n) / (1- r); Sn#; Sn(1,4..10,5)
 a r n Sn 1 4 5 341 1 5 5 781 1 6 5 1555 1 7 5 2801 1 8 5 4681 1 9 5 7381 1 10 5 1111

## Related Videos

Arithmetic Series