Manuals/calci/GEOMETRICSERIES

GEOMETRICSERIES (Start,CommonRatio,Numbers,OnlyNth)

• $Start$ is the minimum number of the series.
• $Commonratio$ is the difference of the two numbers in the series.

Description

• This function returns the value of the Geometric Series.
• In $GEOMETRICSERIES(Start,CommonRatio,Numbers,OnlyNth)$, $Start$ is the Initial number of the geometric series.
• $CommonRatio$ is the difference between the numbers.
• $Numbers$ is the number of the terms to display.
• $OnlyNth$ means it will show the final term of the series.
• Geometric series means a series of numbers or quantities in geometric progression.
• So it is the ratio of successive terms in the series is constant.
• Geometric series using only two terms r and a.
• The term r is the common ratio,and a is the first term of the series.
• The sum of the first n terms of a geometric series is:

$a+ar+ar^{2}+ar^{3}+....$ with $r={\frac {1}{2}}$ and $a={\frac {1}{2}}$

• This function will return the result as Error when the parameters are non-numeric.

Examples

1. GEOMETRICSERIES(3,4,8) = 3 12 48 192 768 3072 12288 49152
2. GEOMETRICSERIES(3,4,8,5) = 49152
3. GEOMETRICSERIES(60.5,9,7) = 60.5 544.5 4900.5 44104.5 396940.5 3572464.5 32152180.5

See Also

• HARMONICSERIES
• ARITHMETICSERIES
• List of Main Z Functions
• Z3 home

References

• Geometric series

• List of Main Z Functions
• Z3 home