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Challenge Your Cognition By Solving Missing numbers

Missing numbers can be termed as those numbers that are missing in a series or sequence of numbers that have similar differences, or there is a pattern between them. When individuals wish to find the missing number, they have to find a sequence of some pattern among the other numbers and then apply the same logic to find the missing number. 

This article lets you understand how to solve missing numbers and improve cognition. 

What is a missing number in mathematics?

A number is missing in a series or sequence of numbers, and the person can find it out by applying the logic of differences as applicable amongst the other numbers. 

Finding missing numbers is termed as trying to find the similar changes between the other given numbers and then applying the difference to find the missing number to complete the series. Numbers can be missing in a series or a sequence, and the same can be found by applying the pattern or logic.

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Missing number in series

  • A Series can be defined as a collection or a group of numbers that has a specific formula or rule to follow. 
  • There are several types of series. Missing number series is one of the different types of series. 
  • The missing number series is that kind of series where a series of numbers are given with one or two numbers missing.
  •  One has to find the missing number in the series.
  • To find the missing number in the series, it is essential to identify the formula or the particular rule that applies to the given number of missing numbers.Visit here  : onlinewebworld24

How to find the missing number in series and sequence?

Missing numbers in the series of missing numbers are usually found at the end of the beginning of the series. A similar layout as that of the wrong number series is followed in the missing number series also. At the very inception, one has to identify the formula or the series’ rules. Then the same rule or formula can be applied to predict the missing number.

Steps to find the missing number in the series

It is very easy to find the missing numbers in the series if you understand the core concept of solving the problem. Here are some steps to follow to find the missing number in the series:

  1. For understanding the rule or the formula applicable to the series, select 2 or 3 terms from the series. This would be helpful to find the missing numbers. For instance, if there are seven numbers in the series and you have to find the eighth number missing, select the first three numbers to understand the rule for the entire series.
  2. While selecting the numbers to find out the applicable rule or formula, choose the numbers that are easier to operate. These may be the numbers that are factors of 10, 5, 3 or 2. 
  3. After that, check the series to find a common method that may have been applied. This can be added between the terms or cubes of the terms or square of the same or some other logic
  4. Now applying the findings in the given series, find the missing number.click here for  more : topworld45

Let us check into a solved example to understand the concept better

Find the missing number in the given series:

1, 2, 6, 24, x

Solution:

  • In the given series, you have to find the missing number ‘x’. 
  • We can pick the first three numbers to understand the rule. 
  • The first number in the series is 1, while the second number is 2. This implies that to arrive at the second number, either 1 is added or 2 is multiplied, and the second number is obtained. 
  • However, the third number in the series is 6, which is the product of 2 and 3. So, the rule applied to series as follows:
  • 1 x 1, 1 x 2, 2 x 3, 6 x 4 and so on. Applying this rule, the next number will answer the product of 24 x 5 that is 120. 
  • Therefore the missing number in the series by applying the rule is 120.

Steps to find the missing number in the sequence

  1. At the very inception, find out the order of the number, namely if it’s ascending order or the descending order.
  2. Then find out the difference in the number adjacent to each other.
  3. To find out the missing number, apply the differential logic as applicable. 

Let us check into a solved example to understand the concept better

Find the missing number in the given sequence

30, 23, x, 9

Solution:

  • In the given sequence, you have to find the missing number ‘x’. 
  • The numbers in the given sequence are in descending order that is in decreasing order. 
  • This means the numbers are arranged from larger numbers to smaller numbers.
  • If we check the difference between the first two numbers, it would be 30 – 23 = 7. 
  • Since the numbers are in descending order, subtract 7 from 23, i.e. 23 – 7 = 16. Therefore the missing number can be presumed as 16. 
  • When we subtract 7 from 16, i.e. 16 – 7 = 9, the following number continues the sequence. 
  • Therefore, the application of the rule for this sequence is correct, and the answer to the missing number in the sequence is 16. 

Final words

A sequence is a set of numbers or a group of objects in a particular order and has some rules applied. The basis for the sequence can be an infinite sequence of a finite sequence. The addition of all the terms in the sequence is defined as a series. The series can be infinite or finite based on whether the sequence is an infinite sequence of a finite sequence. 

There are different types of series and sequences, namely Fibonacci sequence, Geometric Sequence, Harmonic sequence, and Arithmetic sequence. Finding a missing number becomes easier and effective when you identify the sequence and series appropriately. The most integral part is identifying the rule or the formula applicable to the series or the sequence. 

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