Solve for x_100
x_{100}=\frac{20}{21}\approx 0.952380952
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x_{100}=\frac{1}{1.05}
Divide both sides by 1.05.
x_{100}=\frac{100}{105}
Expand \frac{1}{1.05} by multiplying both numerator and the denominator by 100.
x_{100}=\frac{20}{21}
Reduce the fraction \frac{100}{105} to lowest terms by extracting and canceling out 5.
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