Fibonacci Variation: A single pair of rabbits (male and female) is born at the beginning of a year. Assume the fol- lowing conditions: (1) Rabbit pairs are not fertile during their first two months of life, but thereafter give birth to three new male/female pairs at the end of every month. (2) No rabbits die. Let sn = the number of pairs of rabbits alive at the end ofmonthn,foreachintegern≥1,andlets0 =1.Find a recurrence relation for s0, s1, s2, . . . . Computes0,s1,s2,s3,s4,ands5. How many rabbits will there be at the end of the year?
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
Fibonacci Variation: A single pair of rabbits (male and female) is born at the beginning of a year. Assume the fol- lowing conditions:
(1) Rabbit pairs are not fertile during their first two
months of life, but thereafter give birth to three new
male/female pairs at the end of every month. (2) No rabbits die.
-
Let sn = the number of pairs of rabbits alive at the end
ofmonthn,foreachintegern≥1,andlets0 =1.Find
a recurrence relation for s0, s1, s2, . . . .
-
Computes0,s1,s2,s3,s4,ands5.
-
How many rabbits will there be at the end of the
year?
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