Number sequences can be used as a tool to determine your numerical reasoning skill. These types of sequences are often found in IQ Tests, psychometric assessments and aptitude tests and practicing these will improve your numerical reasoning ability. Number sequences tests are a type of numerical aptitude test which require you to find the missing number in a sequence. This missing number may be at the beginning or middle but is usually at the end. Number sequences is a collective term for a sequence of numbers that can be divided into integer and rational sequences.

Integer Number Sequences

Integers are whole numbers. An integer number could be 0, 1, 2, etc. and these positive integer numbers are called natural numbers. Their counterparts are of course negative integers and are negative whole numbers, such as -3, -2 and -1. Integer sequences are therefore sequences based on whole numbers, both positive and negative and including zero, for instance:

-1, 1, 3, 5, 7, …

The number sequence can be specified explicitly by giving a formula for its nth term. The formula for this sequence is “2n−1″ for the nth term and can be called an explicit definition. Explicit meaning that you can chose any integer number for the letter “n” in the formula and it will generate a number in the sequence, for instance: n=3 will generate 2*3-1 = 5 as shown in the example.

An implicit number sequence is given by a relationship between its terms. For example, the Fibonacci sequence

0, 1, 1, 2, 3, 5, 8, 13, …

This number sequence is formed by starting with 0 and 1 and then adding any two consecutive terms to obtain the next one. This relationship is called an implicit description, since you cannot define this in such an easy formula with only one variable as in an explicit definition.

Rational Number Sequences

Unlike integers, rational numbers are numbers which can be written as a fraction where numerator and...

...SEQUENCE
* In mathematics, informally speaking, a sequence is an ordered list of objects (or events). Like a set, it contains members (also called elements, or terms). The number of ordered elements (possibly infinite) is called the length of the sequence. Unlike a set, order matters, and exactly the same elements can appear multiple times at different positions in the sequence. Most precisely, a sequence...

...Sequences and Convergence
Let x1 , x2 , ..., xn , ... denote an infinite sequence of elements of a metric space
(S, d). We use {xn }∞
n=1 (or simply {xn }) to denote such a sequence.
Definition 1 Consider x0 ∈ S. We say that the sequence {xn } converges to x0
when n tends to infinity iff: For all > 0, there exists N ∈ N such that for all
n > N , d(xn , x0 ) <
We denote this convergence by lim xn = x0 or simply xn −→ x0 .
n→∞
Example 2...

...One Assignment
Allana Robinson
MAT 126
Survey of Mathematical Methods
Melinda Hollingshed
August 21, 2011
Arithmetic Sequence is a sequence of numbers in which each succeeding term differs from the preceding term by the same amount. This amount is known as the common difference and can be found using a specific formula by substituting the numbers from the word problem into the equation. When you plug in all the...

...Arithmetic Sequence shows "Survey of Mathematical Methods" and contains solutions on the following problems:
First Problem: question 35 page 230
Second Problem: question 37 page 230
Mathematics - General Mathematics
Week One Written Assignment
Following completion of your readings, complete exercises 35 and 37 in the “Real World Applications” section on page 280 of Mathematics in Our World .
For each exercise, specify whether it involves an...

...to keep going month by month, the sequence formed would be 1,1,2,3,5,8,13,21 and so on. From here we notice that each new term is the sum of the previous two terms. The set of numbers is defined as the Fibonacci sequence. Mathematically speaking, this sequence is represented as:
The Fibonacci sequence has a plethora of applications in art and in nature. One frequent finding in nature involves the use of an even more...

...engineering involve π, which is one of the most important mathematical and physical constants.[5]
π is an irrational number, which means that its value cannot be expressed exactly as a fraction m/n, where m and n are integers. Consequently, its decimal representation never ends or repeats. It is also a transcendental number, which implies, among other things, that no finite sequence of algebraic operations on integers (powers, roots, sums, etc.) can...

...In mathematics, a real number is a value that represents a quantity along a continuous line. The real numbers include all the rational numbers, such as the integer −5 and the fraction 4/3, and all the irrational numbers such as √2 (1.41421356... the square root of two, an irrational algebraic number) and π (3.14159265..., a transcendental number). Real numbers can be thought of as points on an...

... 3 is a number, numeral, and glyph. It is the natural number following 2 and preceding 4.
In mathematics
Three is approximately π when doing rapid engineering guesses or estimates. The same is true if one wants a rough-and-ready estimate of e, which is actually approximately 2.71828.
Three is the first odd prime number, and the second smallest prime. It is both the first Fermat prime and the first Mersenne prime, the only number...