Consecutive Numbers

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Introduction

Understanding consecutive numbers can be simplified by understanding the concept of predecessors and successors.

The number that is written immediately before a number is called its predecessor.

The number that is written immediately after a number is called its successor.

Consecutive Numbers

Consecutive numbers are numbers that follow each other in order from the smallest number to the largest number. They usually have a difference of \(1\) between every two numbers.

Note: The difference between any predecessor-successor pair is fixed.

Let’s look at a few examples of consecutive numbers.

Example 1:

In the above example, the difference between any predecessor-successor pair is \(1.\)

Example 2:

In the above example, the difference between any predecessor-successor pair is \(2.\)

Example 3:

In the above example, the difference between any predecessor-successor pair is \(6.\)

 


 

Solved Examples

Example 1:

Find out the missing number in the series.

\[3, 4, 5, 6, …, 8, 9, 10\]

The difference between any predecessor-successor pair is \(1.\) 

The predecessor of the missing number is \(6.\)

The successor of the missing number is \(8.\)

The missing number is predecessor \(+\) difference \(= 6 + 1 = 7\)

Alternatively,

The missing number is successor \(-\) difference \(= 8 - 1= 7\)

Thus, the missing number is \(7.\)

 


 

Example 2:

Find out the missing number in the series.

\[4, 8, 12, ..., 20, 24, 28, 32\]

The difference between any predecessor-successor pair is \(4.\)
The predecessor of the missing number is \(12.\)
The successor of the missing number is \(20.\)

The missing number is predecessor \(+\) difference \(= 12 + 4= 16\)

Alternatively,

The missing number is successor \(-\) difference \(= 20 - 4= 16\)

Thus, the missing number is \(16.\)

 


 

Practise Questions

Find out the missing numbers in the following series.
  (a)  \(10, 15, …, 25, 30\)
  (b)  \(2, 4, 6, 8, …\)
  (c)  \(75, …, 77, 78, …, 80\)

  
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