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Question Mariam’s farm has a peculiar bull. One day, she gave the bull 2 units of fodder, and the bull ate 1 unit. The next day, she gave the bull 3-units of fodder, and the bull ate 2 units. The day after, she gave the bull 4 units, and the bull ate 3 units. This continued, and on the 99th day, she gave the bull 100 units, and the bull ate 99 units. Represent these quantities as percentages. This task can be distributed among the class. What do you observe?
\(\frac{1}{2}, \frac{2}{3}, \frac{3}{4}, \frac{4}{5}, \frac{98}{99}, \frac{99}{100},\) 50%, 66\(\frac {2}{3}\)%, 75%, 80%,… 98\(\frac {98}{99}\)%, 99%. It follows the pattern \(\left(\frac{n}{n+1}\right)\) × 100 where n is the day number. As n increases, the percentage gets closer and closer to 100%, but never quite reaches it.