Generate arbitrarily long sequences of consecutive numbers …
Aug 25, 2022 · Question Can those hidden consecutive points have a prime coordinate? If true, then this idea isn't valid. If false (hurray!), is it possible to simplify the Theorem to focus on …
Sum of consecutive odd numbers - Mathematics Stack Exchange
May 16, 2016 · The sum of $a$ consecutive odd numbers is a difference of squares $ (n + a)^2 - n^2 = a (a + 2n)$.
probability - What is the expected number of times a dice has to …
The framework proposed in the solution can be generalized to obtain a formula of expected time as of t = 0 t = 0 for n n consecutive throws of any number in the dice as follows.
Prove the product of 3 consecutive positive integers is always ...
Mar 6, 2023 · There is a problem asking me to prove the product of 3 consecutive integers is always divisible by 6 by using induction and not using the fact that one of the 3 numbers must …
I'm trying to find the longest consecutive set of composite numbers
Jun 6, 2017 · In terms of this structure, the composite topologies representing the composite region in the k-tuple ensure that the frontier prime elements are consecutive in the sequence …
Sum of Consecutive Integers - Mathematics Stack Exchange
Feb 7, 2013 · Can you give me more realistic example . Take a number say 15000 . What steps should I follow to find the number of ways by which 1500 can be expressed as sum of …
Sum of consecutive numbers - Mathematics Stack Exchange
Jan 12, 2015 · Conversely, each representation of N N as a sum of consecutive natural numbers arises in this form, since it is centred either about an integer or about a half integer; in the first …
Binary Sequences of length $n$ without $k$ consecutive $1$s or …
Aug 11, 2021 · Earlier today I saw a question about binary sequences of length $n$ that contain no $3$ consecutive $1$ s or $0$ s. I want to generalize the problem a little and count the …
Prove every odd integer is the difference of two squares
3 Eric and orlandpm already showed how this works for consecutive squares, so this is just to show how you can arrive at that conclusion just using the equations. So let the difference of …
Confirming a easy proof: the product of two consecutive numbers …
Jan 12, 2021 · Consider all the products of two consecutive natural numbers, totally ordered by the minimum factor. The difference between two consecutive such products is even: