1/2 − 1/4 + 1/8 − 1/16 + ⋯
= 1/2 − 1/4 + 1/8 − 1/16 + ⋯
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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\} \\).