Full text
... Theorem I.For any positive integer/, in order that y be a Lucas number, it is necessary and sufficient that there exist a positive number x such thait ...
... Theorem I.For any positive integer/, in order that y be a Lucas number, it is necessary and sufficient that there exist a positive number x such thait ...
Operations, Properties, and Applications of Real Numbers
... number, since the product of 0 and any number is zero. On the other hand, if we consider the quotient ...
... number, since the product of 0 and any number is zero. On the other hand, if we consider the quotient ...
Fibonacci
... in terms of α itself. Then do the same for β. 20. What proportion of the Fibonacci numbers are even? What fraction of them are multiples of 3? multiples of 4? 5? Is there a pattern to these answers? I read this problem at Jim Tanton’s webpage. 21. The first four terms of a sequence are 2, 6, 12, 72. ...
... in terms of α itself. Then do the same for β. 20. What proportion of the Fibonacci numbers are even? What fraction of them are multiples of 3? multiples of 4? 5? Is there a pattern to these answers? I read this problem at Jim Tanton’s webpage. 21. The first four terms of a sequence are 2, 6, 12, 72. ...
Letter to the Editor
... I'm afraid there was an error in the February issue of The Fibonacci Quarterly. Mr. Shallit's proof that phi is irrational is correct up to the point where he claims that 1/0 can't be an integer. He has no basis for making that claim, as 0 was defined as a rational number, not an integer. The proof ...
... I'm afraid there was an error in the February issue of The Fibonacci Quarterly. Mr. Shallit's proof that phi is irrational is correct up to the point where he claims that 1/0 can't be an integer. He has no basis for making that claim, as 0 was defined as a rational number, not an integer. The proof ...
5th Grade Math Mastery Core Indicators
... Write the digits that are in the millions period. 716,324,467 Write this number in word form 849,027,382 Write this number in standard form: Two hundred seventy-three million, eight hundred fifty thousand, sixty-four What is the place value of the 9 in 985,643,000? (hundred millions) What ...
... Write the digits that are in the millions period. 716,324,467 Write this number in word form 849,027,382 Write this number in standard form: Two hundred seventy-three million, eight hundred fifty thousand, sixty-four What is the place value of the 9 in 985,643,000? (hundred millions) What ...
