Wed, Nov 20
... If the terms of a series alternate sign and if the terms themselves are approaching 0, then the series converges. Example: 1 – 1/2 + 1/3 - 1/4 + 1/5 - … must converge! (Guess the name of this series.) To what, you ask? Not obvious, since this series is not geometric. Experiment a bit? ...
... If the terms of a series alternate sign and if the terms themselves are approaching 0, then the series converges. Example: 1 – 1/2 + 1/3 - 1/4 + 1/5 - … must converge! (Guess the name of this series.) To what, you ask? Not obvious, since this series is not geometric. Experiment a bit? ...
ON THE NUMBER OF SPECIAL NUMBERS For lack of a better word
... An effective version of the abc conjecture can be used to determine (conjecturally) that there cannot be 12 consecutive special numbers. Suppose not. Let n + 1, n + 2, . . . , n + 12 be all special. Six of these are even, say 2k, 2(k + 1), 2(k + 2), 2(k + 3), 2(k + 4), 2(k + 5). Of these six, at lea ...
... An effective version of the abc conjecture can be used to determine (conjecturally) that there cannot be 12 consecutive special numbers. Suppose not. Let n + 1, n + 2, . . . , n + 12 be all special. Six of these are even, say 2k, 2(k + 1), 2(k + 2), 2(k + 3), 2(k + 4), 2(k + 5). Of these six, at lea ...
A2 - Webs
... Three gaps between 1st and 4th post, so that each post is 83m apart. Eight gaps between the nine poles so 664m from 1st to last. A9 What size is the obtuse angle between the hour hand and the minute hand of a clock at 1:40? Minute hand on 8 and hour hand two thirds the way between the 1 and the 2. H ...
... Three gaps between 1st and 4th post, so that each post is 83m apart. Eight gaps between the nine poles so 664m from 1st to last. A9 What size is the obtuse angle between the hour hand and the minute hand of a clock at 1:40? Minute hand on 8 and hour hand two thirds the way between the 1 and the 2. H ...
Irrational numbers
... decimals that do not terminate or repeat. They cannot be written as the quotient of two integers. If a whole number is not a perfect square, then its square root is an irrational number. Caution! A repeating decimal may not appear to repeat on a calculator, because calculators show a finite number o ...
... decimals that do not terminate or repeat. They cannot be written as the quotient of two integers. If a whole number is not a perfect square, then its square root is an irrational number. Caution! A repeating decimal may not appear to repeat on a calculator, because calculators show a finite number o ...
The Real Numbers - Laurel County Schools
... 3-7 The Real Numbers The Density Property of real numbers states that between any two real numbers is another real number. This property is also true for rational numbers, but not for whole numbers or integers. For instance, there is no integer between –2 and –3. ...
... 3-7 The Real Numbers The Density Property of real numbers states that between any two real numbers is another real number. This property is also true for rational numbers, but not for whole numbers or integers. For instance, there is no integer between –2 and –3. ...
Full text
... A positive integer n is a triangular number if there is another positive integer k such that n - Y2k(k +1). n is a square number if there is a positive integer I such that n = t2, and n is a nearly square number if there is a positive integer I such that n = 1(1+ X) (see [1], [4]). More generally, l ...
... A positive integer n is a triangular number if there is another positive integer k such that n - Y2k(k +1). n is a square number if there is a positive integer I such that n = t2, and n is a nearly square number if there is a positive integer I such that n = 1(1+ X) (see [1], [4]). More generally, l ...
