Noun
a geometric progression written as a sum
Source: WordNetIf Δx is small then, as a first-order approximation of the geometric series equation (4) can be written as: : This shows that, for small Δx, changes in displacement are approximately proportional to changes in relative density. Source: Internet
Euclid avoided such discussions, giving, for example, the expression for the partial sums of the geometric series in IX.35 without commenting on the possibility of letting the number of terms become infinite. Source: Internet
This definition is usually written as : Convergent series Illustration of 3 geometric series with partial sums from 1 to 6 terms. Source: Internet
This formula can be derived as follows: put : Applications Repeating decimals main A repeating decimal can be thought of as a geometric series whose common ratio is a power of 1/10. Source: Internet
This is a consequence of the fact that the recurring part of a decimal representation is, in fact, an infinite geometric series which will sum to a rational number. Source: Internet
This relationship allows for the representation of a 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. Source: Internet