Consider the following repeating decimal. 0.5 Exercise (a) Write the repeating decimal as a geometric series. Step 1 Write the repeating decimal as follows. 0.5 = 0.5555 ... = .5 + 0.05 + 0.005 + 0.0005 + 0.00005 + ... = 5 Σ 10 10 n = 0 n = 0 1 Step 2 Therefore, the repeating decimal 0.5 can be written as an infinite geometrical series. 5 10 10

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