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 […]

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 […]

Find the least integer n such that f(x) is O(x^n) for each of these functions.

$f(x)=2x^{2}+x^{3}log x$ $f(x)=3x^{5}+(log x)^{4}$ $f(x)=dfrac{x^{4}+x^{2}+1}{x^{4}+1}$ The article aims to find the value of the n for each function given to satisfy the O(x^n) notation. Big-O notation represents the maximum operating time of the algorithm. Therefore, it provides the worst possible algorithm. In computer science, big O notation is used to classify algorithms according to how their working time or […]

Write an algebraic expression for: 6 more than a number c.

  This problem aims to find an algebraic expression for a given verbal expression, using the knowledge of simple mathematics and some commonly known algebraic and arithmetic techniques. Read moreAssume that a procedure yields a binomial distribution.This kind of problem requires the understanding of the keywords that are used in mathematics as a way to […]

What does a 2:1 ratio mean?

This article aims to find the ratio between two numbers. The article uses the simple concept of ratio. In mathematics, a ratio shows how many times one number contains another. For example, if there are eight pears and six lemons in a bowl of fruit, then ratio of pears to lemons is eight to six (i.e. $8:6$, which corresponds to a ratio […]