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Full text

... The situation considered by Fibonacci involves two types of rabbit which will be denoted B and F (for baby and female, respectively). Starting with one individual of type B, a sequence of generations of rabbits is formed as follows: Each individual of type B in the nth generation matures to become a ...
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(Core 1) Revision Sheet

... So the remainder is +16. Therefore x3 + 2x2 + 3x − 6 = (x − 2)(x2 + 4x + 11) + 16. • x − a is a factor ⇔ f (a) = 0. • Remainder theorem: When f (x) is divided by x − a the remainder is f (a). For example if told that when f (x) = x3 + 2x2 − 3x − 7 is divided by x − 2 the remainder is 3, we know f (2 ...
The Congruent Number Problem -RE-S-O-N-A-N-C-E--I-A-U-9-U
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... The Greatest Common Divisor of Two Numbers Recall that the greatest common divisor of two numbers, denoted as gcd(a,b), is the largest number that divides a and b evenly with no remainder. For example, gcd(10, 20). = 10 and gcd(72, 108)=36. Previously, we saw a method to find the gcd that involved m ...
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Prime and Composite Numbers Student Probe Lesson Description

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... halve the current number if it is even or triple it and add 1 if it is odd Algorithm: Collatz ( n ), Collatz sequence for n Print n and set x := n ...
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... A farmer plans to use a river as one boundary of a rectangular paddock. If the farmer has 960 metres of fencing to be used to fence the other 3 sides, what dimensions should the paddock be to ensure maximum area? ...
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Proofs of Fermat's little theorem

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