Manuals/calci/GEOMETRICSERIES

GEOMETRICSERIES (Start,CommonRatio,Numbers,OnlyNth)

• Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Start} is the minimum number of the series.
• Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Common ratio} is the difference of the two numbers in the series.

Description

• This function returns the value of the Geometric Series.
• In Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle GEOMETRICSERIES (Start,CommonRatio,Numbers,OnlyNth)} , Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Start} is the Initial number of the geometric series.
• Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle CommonRatio} is the difference between the numbers.
• Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Numbers} is the number of the terms to display.
• Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 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:

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle a+ar+ar^{2}+ar^{3}+....} with Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle r=\frac{1}{2}} and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 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
4. 2...10000000...6 = 2 12 72 432 2592 15552 93312 559872 3359232

Related Videos

Geometric Series

See Also

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

References

• Geometric series

• List of Main Z Functions
• Z3 home