Αναζήτηση
Geometric series
/dʒˌiːəʊmˈɛtɹɪk sˈiəɹiz/
/dʒˌiːoʊmˈɛtɹɪk sˈɪɹiz/Geometric series
01
a series of numbers in which each term after the first is found by multiplying the previous term by a fixed, non-zero number
Παράδειγμα
Financial calculations often use geometric series to model compound interest.
Convergence of a geometric series occurs when the absolute value of the common ratio is less than 1.
In a geometric series, if the common ratio is greater than 1, the series will diverge.
An infinite geometric series continues indefinitely, with each term being a multiple of the previous term.
The geometric series 2 + 6 + 18 + 54 represents a sequence where each term is obtained by multiplying the previous one by 3.
