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
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
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter7: Exponents And Exponential Functions
Section7.9: Geometric Sequences As Exponential Functions
Problem 26PPS
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