![]() The alternating sequence needs the candidate to make two separate calculations, as each number is not related to the ones immediately before or following. In this example, the next term in the series would be 95, so the answer is a). The difficulty here is establishing the right combination of mathematical functions that are needed. This pattern combines geometric and arithmetic sequences, and the rule is that each number is the previous number multiplied by two, and then add one. What is the next number in this sequence? In this question, the missing term is d) 15. The relationship between each number is the division by two of the previous number – and it’s important to understand that the terms in a series don’t need to be integers. This sequence is solved in the same way as above, even though the missing number is in the middle. The rule for this pattern is to add 4 to the previous number, so in this case, the answer would be c) 21. Five example number series questions Example arithmetic sequence: There are several other types of sequence too, including prime numbers, perfect square and perfect cube series. The usual Fibonacci sequence is 1, 1, 2, 3, 5, 8, 13, 21 and so on, but there are no guarantees that the sequence will start at one or even be an ascending series. The Fibonacci sequence makes the terms related to one another by adding the two previous numbers together. This can make finding the rule or pattern complicated, since the numbers are not necessarily related to the terms on either side in the series itself. Alternating sequenceĪn alternating sequence is a single number series made of two independent sub-sequences. This can make finding the right answer more complicated, as the functions might not be from the same family – such as a combination of arithmetic and geometric sequences. Mixed sequenceĪ mixed sequence describes the relationship between terms as being based on more than one rule. In a similar way to arithmetic sequences, geometric sequences contain numbers that share a rule based on multiplication or division. The most basic version of this is 1, 2, 3, 4, 5 _ where the next number would be six because the rule is to add one to the last digit. The relationship between terms in an arithmetic number series is based on adding, subtracting, or a combination of both operations. There are several types of number series questions, and the types are based on what logic connects the numbers in a sequence. Different forms of number series questions They are difficult because the pattern may be less obvious, rather than it being based on complicated arithmetic. Number series questions are based on rather simple mathematical rules. ![]() In the sequence, there are typically between four to seven visible numbers, and to find the missing elements the candidate needs to find the specific logical rule or pattern that links the series, and apply that to the missing numbers. ![]() ![]() As these are part of numerical reasoning tests, the answers are usually presented in a multiple-choice format. ![]() Numbers in a series are described as ‘terms’, and they are presented in a sequence with gaps – the candidate must find the missing term(s) to complete the question. Number series questions in numerical reasoning assessments consist of a group of numbers that share a logical rule based on elementary arithmetic. ![]()
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