Interactive Chalkboard
... Examine You can find the term of the sequence by adding 15,000. From Example 2 on page 579 of your textbook, you know the cost to rent the crane for 12 months is $120,000. So, a12 through a24 are ...
... Examine You can find the term of the sequence by adding 15,000. From Example 2 on page 579 of your textbook, you know the cost to rent the crane for 12 months is $120,000. So, a12 through a24 are ...
Integer
... –4°C at A and –1°C at B. Which of the following statement is true? (A) A is cooler than B (B) B is cooler than A (C) There is a difference of 2°C in the temperature (D) The temperature at A is 4°C higher than that at B. 15. When a negative integer is subtracted from another negative integer, the sig ...
... –4°C at A and –1°C at B. Which of the following statement is true? (A) A is cooler than B (B) B is cooler than A (C) There is a difference of 2°C in the temperature (D) The temperature at A is 4°C higher than that at B. 15. When a negative integer is subtracted from another negative integer, the sig ...
Collatz conjecture
The Collatz conjecture is a conjecture in mathematics named after Lothar Collatz, who first proposed it in 1937. The conjecture is also known as the 3n + 1 conjecture, the Ulam conjecture (after Stanisław Ulam), Kakutani's problem (after Shizuo Kakutani), the Thwaites conjecture (after Sir Bryan Thwaites), Hasse's algorithm (after Helmut Hasse), or the Syracuse problem; the sequence of numbers involved is referred to as the hailstone sequence or hailstone numbers (because the values are usually subject to multiple descents and ascents like hailstones in a cloud), or as wondrous numbers.Take any natural number n. If n is even, divide it by 2 to get n / 2. If n is odd, multiply it by 3 and add 1 to obtain 3n + 1. Repeat the process (which has been called ""Half Or Triple Plus One"", or HOTPO) indefinitely. The conjecture is that no matter what number you start with, you will always eventually reach 1. The property has also been called oneness.Paul Erdős said about the Collatz conjecture: ""Mathematics may not be ready for such problems."" He also offered $500 for its solution.