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... Since then, several authors proved general theorems on fractions that can be represented as series Involving Fibonacci numbers and general n-Bonacci numbers [1, 2, 3, 4 ] . In the present paper we will prove a theorem which includes as special cases all the earlier results. We introduce some notatio ...
... Since then, several authors proved general theorems on fractions that can be represented as series Involving Fibonacci numbers and general n-Bonacci numbers [1, 2, 3, 4 ] . In the present paper we will prove a theorem which includes as special cases all the earlier results. We introduce some notatio ...
tpc maths (part a) - nswtmth307a
... 2. Work out what the question is asking you 3. Write an algebraic expression or equation to represent the problem 4. Solve for the variable you are after Example: A brother is twice as old as his sister. Their combined ages are 24. How old is the sister? ...
... 2. Work out what the question is asking you 3. Write an algebraic expression or equation to represent the problem 4. Solve for the variable you are after Example: A brother is twice as old as his sister. Their combined ages are 24. How old is the sister? ...
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... C1 (n) = n instead with only slight changes to the theorem and its proof). Proof. Obviously m = C0 (2n −1) = 2n −1 is an odd number. Therefore C1 (m) = 2n 3 − 2, an even number, and then C2 (m) = 2n−1 3 − 1, C3 (m) = 2n−1 9 − 2, C4 (m) = 2n−2 9 − 1, C5 (m) = 2n−2 27 − 2, etc. We can now generalize t ...
... C1 (n) = n instead with only slight changes to the theorem and its proof). Proof. Obviously m = C0 (2n −1) = 2n −1 is an odd number. Therefore C1 (m) = 2n 3 − 2, an even number, and then C2 (m) = 2n−1 3 − 1, C3 (m) = 2n−1 9 − 2, C4 (m) = 2n−2 9 − 1, C5 (m) = 2n−2 27 − 2, etc. We can now generalize t ...
List of important publications in mathematics
This is a list of important publications in mathematics, organized by field.Some reasons why a particular publication might be regarded as important:Topic creator – A publication that created a new topicBreakthrough – A publication that changed scientific knowledge significantlyInfluence – A publication which has significantly influenced the world or has had a massive impact on the teaching of mathematics. Among published compilations of important publications in mathematics are Landmark writings in Western mathematics 1640–1940 by Ivor Grattan-Guinness and A Source Book in Mathematics by David Eugene Smith.