Source: wikibot/1-plus-2-plus-4-plus-8-plus-⋯
= 1 + 2 + 4 + 8 + ⋯
{wiki=1_+_2_+_4_+_8_+_⋯}
The series \\(1 + 2 + 4 + 8 + \\ldots\\) is a geometric series where the first term \\(a = 1\\) and the common ratio \\(r = 2\\). The sum of an infinite geometric series can be calculated using the formula: \\\[ S = \\frac\{a\}\{1 - r\} \\\] This formula is valid only for \\(|r| \< 1\\).