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수학동아 - 폴리매스
함께 풀고 싶은 문제
창의력을 기를 수 있는 수학 문제 또는 퍼즐을 내는 곳입니다.
전자기역학
2020.06.15 20:06
조회 703
위의 대표이미지는 다양한 정보들이 넘쳐나는 폴매 카페의 로고입니다!
19등 전자기역학은 17등(맞나?) MathlabJ를 따라잡으려 한다. 현재 전자기역학은 150문제를 냈고, MathlabJ는 300문제를 냈다 가정하자. 그리고 푼 문제는 따지지 않는다고 한다.
전자기역학과 MathlabJ는 다음 규칙을 가지고 문제를 낸다 하자.
전자기역학: n번째 문제를 낼 때 쉬는 시간을 f(n)이라 하면, f(2n)=f(n), f(2n+1)=f(n)+1이라 한다.
MathlabJ: n번째 문제를 낼 때 쉬는 시간을 g(n)이라 하면, g(3n)=g(n), g(3n+1)=g(n)+1, g(3n+2)=g(n)+2라 한다.
문제를 내는 시간은 무시할 때, 이들이 동시에 문제내기를 시작한다면 몇 분 만에 전자기역학이 MathlabJ를 따라잡을까?(단, 풀이는 필수이며 f(1)=g(1)=1)
지금 바로
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