Source: wikibot/1-2-minus-1-4-plus-1-8-minus-1-16-plus-⋯
= 1/2 − 1/4 + 1/8 − 1/16 + ⋯
{wiki=1/2_−_1/4_+_1/8_−_1/16_+_⋯}
We can represent the series \\( S = \\frac\{1\}\{2\} - \\frac\{1\}\{4\} + \\frac\{1\}\{8\} - \\frac\{1\}\{16\} + \\cdots \\) more clearly by recognizing it as an infinite geometric series. \#\#\# Step 1: Identify the First Term and the Common Ratio The first term \\( a \\) of the series is \\( \\frac\{1\}\{2\} \\).