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  1. 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 …

  2. 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)$.

  3. 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 …

  4. 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.

  5. My formula for sum of consecutive squares series?

    Apr 29, 2016 · I stumbled upon a specific series, who's Sum of squares of consecutive integers equals the sum of squares of the continuation of that consecutive integers. For exmaple, this …

  6. 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 …

  7. 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 …

  8. 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 …

  9. Find all sets of consecutive natural numbers whose sum is 54.

    May 7, 2023 · It appears that you have misread the question slightly, as it requests for consecutive natural numbers, and not even numbers. Below, I'll describe the amount of …

  10. How many positive integers up to 100 can be written as a sum of …

    Feb 27, 2024 · However, there is double counting involved. This means that the real solution must be less than 94. So my question is how many positive integers are there less than 100 that …