5/1/2023 0 Comments Number sequence![]() ![]() The more you practice the easier will be to decode the logic that govern the sequence, although it is important to note how fast the terms of the sequence increase or decrease their values, so you can guess if the operation that relates the terms is the addition, subtraction, multiplication, division or exponentiation, using a constant value or the previous terms of the sequence.Įach questionnaire has 36 questions, which are presented in order of increasing difficulty, and must be resolved in 36 minutes. When there are several rules behind the sequence, always choose the simplest rule. In this case each term is obtained by adding the previous two terms, so that the next term will be 18 + 29 = 47. There are sequences in which a term is obtained by performing arithmetical operations with the previous two or three terms. For example, in the sequence: 1, 5, 2, 7, 3, 9 you can see that there are two alternating sequences: 1, 2, 3 ( in the odd positions ) and 5, 7, 9 (in the even positions), so that the next value will be 4. Sometimes there are two rules behind the sequence or alternating sequences, one in the odd positions and another in the even positions. In some very complex sequences, it could be a good idea to try with third differences. In the previous example, the second difference is 2, 2, 2. So in this sequence the next number is 11, and keeping in mind that the terms of the original sequence are obtained by summing these values, the next number in the original sequence would be: 26 + 11 = 37.Ĭompute the differences of the differences between the terms (second differences). If we calculate the differences between the terms we get a new sequence: 3, 5, 7, 9 which is a sequence in which each term is obtained by adding two to the previous term. Take for example the sequence: 2, 5, 10, 17, 26. The next term is therefore 96.Ĭompute the differences between the terms, which may be constant (above example) or lead us to another less complex sequence. For example, in the sequence: 3, 6, 12, 24, 48 each term is obtained by multiplying the previous term by 2. Note if each term can be obtained by adding, subtracting, multiplying or dividing the previous term by the same number. It is useful to know some basic sequences: sequences of integers, even numbers, odd numbers, multiplication tables, prime numbers, factorials, squares, power of numbers, etc. Sometimes you just look at the numbers and identify the pattern. ![]() To find the rule of a sequence, there are several practical tips. Sometimes sequences of numbers are combined with letters, in this case you should only take into account the position of the letter in the alphabet. In most cases you can find out a mathematical formula that describes how to compute each term of the sequence. Once that this rule or logical relationship is discovered, you can find out the next number of the sequence. This rule is based on the relationship all numbers have among them, which usually involve performing basic calculation such as addition, subtraction, multiplication and division. Numerical sequences are presented as a series of numbers arranged according to a logical rule. ![]() These tests assess the ability to solve arithmetical and mathematical problems, becoming a good measure of inductive and abstract reasoning. ![]()
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