geometric sequence sum
Calculate the sum of the first n terms whose leading term is a and whose common ratio is r.
symbols, variables and units
S_n,a: same unit; r: dimensionless common ratio; n: positive integer.
applicable conditions and boundaries
r≠1; when r=1, S_n=na.
formula source code
The following is a copyable LaTeX expression.
S_n=a\frac{1-r^n}{1-r}Reference and Extended Learning
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geometric seriessequence