Question about LCM
Subject Mathematics
Mathematics
Source Originais Teachy
Originais Teachy
Topic LCM
LCM
Difficulty Very Hard
Very Hard
(Originais Teachy 2023) - Question Very Hard of Mathematics
To celebrate the school's anniversary, the Math and History teachers decided to create a multidisciplinary challenge. The challenge consists of calculating the least common multiple (LCM) of the number of years the school has been around and the number of decades since the last building renovation. The school's number of years is a prime number, and the number of decades since the last renovation is a perfect square. Furthermore, to make the party even more special, it was decided that the event's lighting will be organized in patterns following the Fibonacci sequence. Therefore, it will be necessary to calculate the 15th term of the Fibonacci sequence to determine the number of light bulbs that will be used. Based on these calculations, answer: (1) What is the LCM of the school's number of years and the number of decades since the last renovation? (2) If each light bulb in the Fibonacci sequence illuminates an area of 3 square meters, what will be the total area illuminated by the light bulbs at the event? Explain the steps and justify your answers based on the mathematical concepts of LCM and the Fibonacci sequence.Answer sheet:
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