Mandy is playing a game on her phone where the number of obstacles she has to avoid triples each round. If she is currently on a round with 15 obstacles, in how many rounds will there be 405 obstacles to navigate? obstacles
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Let’s break it down! If the number of obstacles triples each round, we can represent the number of obstacles in each round as follows: - Round 1: 15 obstacles - Round 2: \(15 \times 3 = 45\) - Round 3: \(15 \times 3^2 = 135\) - Round 4: \(15 \times 3^3 = 405\) So, it will take Mandy just 3 additional rounds to reach the point where there are 405 obstacles! Get ready to dodge like a pro! Now, if Mandy keeps on playing past this point, she’ll find herself facing even more challenges, as the number of obstacles will keep multiplying. In Round 5, she will encounter a whopping 1,215 obstacles – that's a serious test of reflexes! Play smart and stay focused!