Manuals/calci/GEOMETRICSERIES
- 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.
- 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:
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 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
- GEOMETRICSERIES(3,4,8) = 3 12 48 192 768 3072 12288 49152
- GEOMETRICSERIES(3,4,8,5) = 49152
- GEOMETRICSERIES(60.5,9,7) = 60.5 544.5 4900.5 44104.5 396940.5 3572464.5 32152180.5
- 2...10000000...6 = 2 12 72 432 2592 15552 93312 559872 3359232