미분적분학 8장 솔루션
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61. In the 3rd month, only the adult rabbits have newborns, so a3 = 2+1 = 3. In the 4th month, only the 2 pairs of adult rabbits from a2 can have newborns, so a4 = 3 + 2 = 5. In general, an = an−1 + an−2
62. Let an and an+1 denote the sizes of the shorter and longer sides of the n th rectangle. For example, a1 = 1 and a2 = 2 are the sides of the first rectangle, a2 = 2 and a3 = 3 are the sides of the second rectangle, and so on. When a new rectangle an×an+1 is formed, the longer side of
the previous one, an, becomes the shorter side of the new one, and the longer one of the new
one, an+1, is the sum of the shorter one and the longer one of the previous one. If we express
that as a formula we get an+1 = an−1 + an, which is the property defining the Fibonacci seque
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