### The missing number in the series 9, ? , 6561, 43046721 is: 81, 25, 62, 31, 18.

This problem aims to familiarize us with missing numbers in different sets of series. The concept required to solve the given problem is basic calculus involving sequences and series. Sequence and series are the basic topics of arithmetic’s. We define a sequence as an enumerated group of numbers or elements in which recurrences of any […]

### What is 12/5 as a mixed fraction?

The aim of this question is to learn how to convert simple fractions into mixed fractions. Fractions can be subdivided into two types, proper and improper. A fraction is said to be a proper fraction if the numerator magnitude is smaller than the denominator magnitude. $dfrac{ 1 }{ 2 }$ is an example […]

### List five integers that are congruent to 4 modulo 12.

The aim of this question is to introduce the concept of congruency of an integer with another integer under some modulo. Whenever we divide one integer over another, we have two results, namely a quotient and a remainder. The quotient is the part of the result that defines the perfect division while the existence of […]

### Show that the product of a number and seven is equal to two more than the number.

The aim of the given question is to introduce word problems related to basic algebra and arithmetic operations. To solve such questions we may need to first assume the required numbers as algebraic variables. Then we try to convert the given constraints into the form of algebraic equations. Finally, we solve these equations to find […]

### Find the product of the following equation. Express it in standard form. Give the value of a followed by the value of b separated by a comma.

$sqrt {30}: and : 6sqrt {10}$ This article discusses the product of two numbers under the square root. The background concept used in this article is a simple product and square root method. Expert Answer The product of $sqrt {30}$ and $6 sqrt {10}$ is $60 sqrt {3}$. The […]