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A number sequence that follows a pattern is called a Number Series. Candidates must locate the missing or incorrect number in the provided sequence or series. In some problems, one of the terms in the supplied series may be wrong, and candidates must figure out which term is faulty by identifying the pattern involved in the series’ creation.
We have divided the number sense reasoning part into numerous sorts based on the various types of problems asked in various competitive tests.
Number Series Types
Let’s glance at the many types of questions that could be asked one by one from the list below.
1. Series of additions
In this type of number series reasoning, a certain number is added to the following number based on a pattern.
2. Series of subtractions
In this type of number series reasoning, a certain number is deducted from the following number based on a pattern.
3. Series of Multiplication
A specific form of number pattern is scaled to acquire the next value in this kind of number series logic.
4. Series of Division
A specific form of number pattern is split to produce the following number in this type of number series logic.
5. Square Collection
Each number is a perfect square of a particular number pattern in this form of number series reasoning.
6. Cube Collection
Each number is a perfect cube of a particular number pattern in this form of number series reasoning.
7. The Fibonacci Sequence
The following number is the total of two previous numbers in this form of number series reasoning.
8. Series that alternates
Multiple number patterns are utilised alternately to build a series in this style of number series reasoning.
9. Series of Mixed Operators
Multiple operators are used to getting the next value in the sequence in this type of numeric series reasoning.
10. Organizing a Number
Candidates must rearrange numbers as indicated and then answer the problems in this sort of number series reasoning.
Guidance on how to answer Series Completion questions
In order to answer series-based questions correctly, you must:
- Learn all of the natural numbers’ squares from 1 to 25.
- Learn all of the natural numbers’ cubes from 1 to 20.
- Inspect the series by studying the series and looking for differences, divisions, multiples, and other patterns between the words.
- Keep the EJOTY rule in mind. It aids with recalling the alphabet numbers, since E correlates to the fifth place, J to the tenth, O to the fifteenth, T to the twentieth, and Y to the twenty-fifth.
Instances of some kind of number sequence
1. Constant difference series
Any two successive numbers in this series have the same difference.
1, 4, 7, 10,?
To get the next number, we add 3 to the previous number. So, the answer is 10+3 = 13.
2. Increasing difference series
As we progress through the series, the difference between two successive terms grows. Let’s try to apply this theory to a problem.
1,2,5,10,17,?
The series obviously increases with the difference: +1, +3, +5, +7, +9,
As a result, we’ll get our number by adding 9 to 17, which is 26.
3. A combination of multiple actions
This sort of series has more than one sort of arithmetic operation, or it may have two separate series that have been joined to make a single series. Among all the types of series we’ve studied thus far, this is the most frequently asked about and the most significant.
Consider the following sequence: 1, 3, 6, 2, 6, 9, 3, 9,
The second term is obtained by multiplying the first term by three, and the third term is achieved by increasing the second term by three. The following term is two, one more than the first. The next term is obtained by multiplying it by three, and the procedure is repeated. Using this method, we arrive at the number 12.
Conclusion
Observing the differences between distinct words is the best technique to tackle number series issues. It’s a continuous difference series if we see a constant difference. It’s a type 2 or type 3 series if the difference is dropping or growing by a constant quantity. If the difference does not rise or decrease, divide the second term by the first, the third term by the second, and so on. It’s a product series if you get the same number every time.
If none of these methods appear to work, try formulating each phrase as the product of two components and see if any patterns emerge.
If there is still no pattern and the difference is fast growing or decreasing, search for square/cube series. A combination series is one in which the difference increases and decreases in a predictable pattern.
