Find the Missing Number in the Series of 3, 11, 25, 45

Find the Series of This Number 3, 11, 25, 45? 

Number series is an important topic in terms of competitive exams. Logical and problem-solving questions can be seen in a wide array of entrance exams. Therefore, it is imperative to understand the concept of missing number series. 

• Missing numbers are the numbers that have been omitted or missed in the given number series with the similar properties among the numbers.
• In the missing number series, a series of numbers is given in which one or more than one number will be missing. A candidate needs to find that missing number. 
• To find the missing numbers in the given series, 2 or 3 numbers given before or after the missing number are to be taken to find out which rule is being applied to these numbers.
• The common methods to check the series for a particular rule are sum, squares, multiplication, division, subtraction, and cubes of the numbers. 

Given:

Series: 3, 11, 25, 45, ?

To find:

The missing term in the given number series?

Solution:

Consider the missing number in the series as x.

To find the value of x it is essential to understand the pattern between the numbers given in the series.

11 – 3 = 8

25 – 11 = 14

45 – 25 = 20

When comparing the numbers 8, 14, and 20, it can be figured out that the difference between the numbers is 6.

Therefore,

x – 45 = 20 + 6

x – 45 = 26

x = 26 + 45

x = 71

Hence,

The series of the given numbers is 3, 11, 25, 45, 71.