Tagged Questions

1. From a samples of a small samples of mathematical objects, conjecture a common pattern to all of them. This includes "guess the next terms in the sequence" question (consider checking OEIS first). Please provide as much context as possible. 2. Mathematical ideas related to pattern recognition, ...

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Find the rule/ formula that creating following linear digit sequence [on hold]

Find the rule/ formula that creating following linear digit sequence using particular formula or linear equation digit sequence is advancing, we need to find out that formula. Given sequence could be ...
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Triangular pyramid. Find the sum of certain numbers on pyramid.

Given that the set of natural numbers continue in the triangular pattern shown below, find the sum of the 6th number in row 7 and the 9th number in row 10. Note: Row 1 is the first row of the ...
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May I know how do I form a quadratic number pattern equation? I cant seem to form one on my own. 1500, 1519,1536, 1551,1564.
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How to find a pattern

I have a list of objects. Each object has $3$ values that will have a value from $0$ to $100$. I want to know how iI be able to find the pattern that is most common in that list. Object 1: 1-2-3 ...
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Find the missing Item in the sequence [closed]

There is a sequence described below.What is the missing item? $5,10,?,50,122,...$
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What is the next Item in the series [closed]

There is a sequence described below.What is the missing item 0,7,26,63,?,...
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Pattern involving squares, primes, and remainders

I ran across a really neat pattern, wholly by accident. In advance, my questions are: Has this been discovered before? If so, where can I learn more about it? Why does this pattern work? Now for ...
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Finding a unique point in a histogram that can be determined even if the histogram is circularly shifted.

Circularly shifted histogram: Modular addition (or subtraction) of a constant value to all data points. Maxima, Minima, etc. might not be a unique value, therefore can't be used. Edit: Let me ...
17k views

How is this a number sequence $58, 26, 16, 14, 10$

I recently had a IQ Test taken and we all got stuck on the same question. The question was: What comes next in the following sequence? $$58, 26, 16, 14,\_\_$$ The answer given in the answer sheet ...
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How to sort a list of tuples?

I am neither a mathematician, nor a computer scientist, but I have the following problem, which I cannot solve myself. I have $k$ $i$-tuples $(x_1, x_2, …, x_i)$, where $x ∈ [0,1]$. I need to order ...
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Sticky boots and modular arithmetic: Find the formula!

Suppose a trek begins and on this trek the road is paved by squares with labels on them. The warning sign next to the beginning of the first square, labeled $1$, states: Beware that due to natural ...
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finding the missing number by pattern

In this riddle you need to find a pattern between every couple of numbers. Given numbers $5$ and $10$ there is a pattern like in the numbers $10$ and $3$. Given numbers $10$ and $15$ there is a ...
323 views

Closed form for $S(m) = \sum_{n=1}^\infty \frac{2^n \cdot n^m}{\binom{2n}n}$ for integer $m$?

What is the (simple) closed form for $\large \displaystyle S(m) = \sum_{n=1}^\infty \dfrac{2^n \cdot n^m}{\binom{2n}n}$ for integer $m$? Notation: $\dbinom{2n}n$ denotes the central binomial ...
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$k-1$st derivative of a degree $k$ polynomial

I know this is going to come across as a very strange question, but it's important that I know the answer. Say I have a degree $k$ polynomial (for my case, I need it to be a complex-valued polynomial ...
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Did the U.S. Army use a formula to evaluate fitness performance?

While writing a web app to calculate one's score on the Army Physical Fitness Test (APFT), I grew tired of simply retyping this chart:           &...
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What number comes next in the sequence $7, 16, 8, 27, 9,…$? [closed]

What number comes next in this series? $$7, 16, 8, 27, 9,...$$ I thought it was $38$, but I'm wrong. It is a multiple choice, and options are $27, 10, 40, 37$. Don't worry - I'm not cheating on ...
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Lower bound of Nearest Neighbour Rule

It is stated often as a matter of fact that the lower bound for Nearest Neighbour rule is the Baye's rate. However when I tried to mathematically prove it,I hit a dead end. For reference : Error for ...
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How can a pattern be found in a series of Numbers?

In the given series of numbers (0-9) or a similar series of numbers, How can a pattern be searched? 3 2 4 8 0 8 7 3 8 7 0 0 4 9 6 3 9 7 4 5 7 3 9 6 ...
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Are Mersenne prime exponents always odd?

I have been researching Mersenne primes so I can write a program that finds them. A Mersenne prime looks like $2^n-1$. When calculating them, I have noticed that the $n$ value always appears to be odd....
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Is this a valid visualization of Euler's identity as a more generic pattern?

I was reading this nice question about a demonstration of Euler's identity, and tried to visualize how would look the left part of the identity in the complex plane by using the following function: ...
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Please, help to identify this numerical constant

I'm trying to find an answer to this question. Let $K(k)$ be the elliptic integral of the first kind and $K'=K(\sqrt{1-k^2})$. According to Abel's theorem (see this link) we know that if \$\frac{K'}{K}...