# Questions tagged [arithmetic]

Questions on basic arithmetic involving numerical quantities only. Questions involving variable values (other than the result of the operation) should be placed under the (algebra-precalculus) tag. Questions about number theory (sometimes called "arithmetic") should not use this tag and should instead use (number-theory) or (elementary-number-theory).

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### Arithmetic progression, find $a_1$, $d$ and $n$. [closed]

$$\begin{cases} a_1+a_2+a_3 = 24 \\ a_2^2 - a_1 \times a_4 = 10 \\ S_n - S_4 = 23 \end{cases}$$ Searching for $a_1$, $d$, and $n$.
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### How would you go about finding the exponent for any given x that most closely matches or surpasses factorial growth?

While analyzing the factorial function and comparing it to basic exponentiation, I couldn't help but notice the obvious fact that exponentiation can eventually overtake factorialization if the ...
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### Schedule recurrent tasks to match a desired frequency?

I'm trying to write a small task scheduling function that takes a list of tasks, each with an assigned priority. These tasks are meant to update some values in a database, and some need to run more ...
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### What does $(4 \mod 100) \equiv (5 \mod 99)$ mean?

I came across the following example on page 9 of Introduction to Arithmetic for Digital Systems by Waser and Flynn: Example 1.5 Suppose we have two $\mod 99$ $A'$ and $B'$, having the following ...
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### Difficulty in solving the most famous online ( 8÷2(2+2) question with 2 different approaches [duplicate]

For the problem 8÷2(2+2) I have found two approaches to solve the problem. 1st one is: $\frac{8}{2(2+2)}$ This looks like a direct approach ad we got 1 as answer. 2nd one is using BODMAS: 8/2(2+2) 8/2(...
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### Using modular arithmetic to explain end around carry

I understand that end-around carry occurs because the diminished-radix complement coding has two representations of zero, but I'm having trouble understanding how it follows from the rules of modular ...
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### Natural numbers ($2\leq n$) divided into two sets. I'm trying to find characterization of these sets.

Here is tiny program that finds biggest prime divisor of a number (function find), written in pseudocode (Project Euler 3rd exercise, original source in C language ...
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### If you need 3:2:1 ratio of X,Y,Z to make a something, doesn't that mean you need 6 units:4 units:2 units to make two units of that thing?

Oil, vinegar, and water are mixed in a 3 to 2 to 1 ratio to make salad dressing. If Larry has 8 cups of oil, 7 cups of vinegar, and access to any amount of water, what is the maximum number of cups of ... 