In Problems 61–70, express each sum using summation notation.
The required summation notation is .
The given sum is:
As we can see that the sum has 20 terms, each term represents the form , and starts at and ends at .
Growth of a Rabbit Colony:
A colony of rabbits begins with one pair of mature rabbits, which will produce a pair of offspring (one male, one female) each month. Assume that all rabbits mature in 1 month and produce a pair of offspring (one male, one female) after 2 months. If no rabbits ever die, how many pairs of mature rabbits are there after 7 months?
[Hint: The Fibonacci sequence models this colony. Do you see why?]
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