 Finding out the Numbers for n-Digits – Tricks, Examples | How to Find the Numbers in a Sequence?

Finding the numbers is nothing but to find out numbers in between the series of numbers. There are many different ways to find out the Numbers. Initially, you have to look at the given numbers once and observe carefully the numbers and then follow one of the ways to Find Out the Numbers missing. Here, you can go through those all ways to find the numbers. Once you understand the trick it’s very simple to Find out the numbers.

Finding out the Numbers for n-digits

In this section, you can easily find the numbers between the given digits. To find any number in between the given group of numbers, we have some patterns and logic behind it. With the help of those patterns, let’s find some of the n-digits.

The logic to find out the numbers is we do the difference between greatest and smallest digits and with the required number we add 1, then simply you get the number in between those given digits. Here, we are going to know about finding out the possible numbers of 1-digit, 2-digit, 3-digit, and 4-digit.

1. One-Digit Number

The smallest one-digit number is 1
The greatest one-digit number is 9
Now, 9 – 1 = 8, then 8 + 1 = 9
So, the 1-digit numbers are 9.

2. Two-Digit Number

The smallest two-digit number is 10
The greatest two-digit number is 99
Now, 99 – 10 = 89, then 89 + 1 = 90
So, the 2-digit numbers are 90.

3. Three-Digit Number

The smallest three-digit number is 100
The greatest three-digit number is 999
Now, 999 – 100 = 899, then 899 + 1 = 900
So, the 3-digit numbers are 900.

4. Four-Digit Number
The smallest four-digit number is 1000
The greatest four-digit number is 9999
Now, 9999 – 1000 = 8999, then 8999 + 1 = 9000
So, the 4-digit numbers are 9000.

Thus, you can find out the numbers easily for n no. of digits. So, the pattern you can notice from the above is as follows:
1-digit number = 9
2-digit numbers = 90
3-digit numbers = 900
4-digit numbers = 9000
Similarly, 5-digit numbers = 90000

How to Find the Numbers?

Follow the simple steps listed below for finding out the numbers. They are along the lines

1. First, look at the given series of numbers closely.
2. Then, you have to check the difference of numbers. It can be adding, subtracting, multiplying, squaring, dividing the numbers.
3. So, you should notice one of the above way in-between numbers. After applying the needed method you can get your Finding Number.

Here, we have discussed a few examples of how to find out the numbers in a simple way. Let’s check these solved examples on Finding out the numbers and understand the concept clearly.

Examples of Finding out the Numbers

Example 1:

Find the number from the sequence 2, 4, 6, 8, 10, ……

Solution:

The given sequence is 2, 4, 6, 8, 10, ….
Now, observe the given sequence in order to find out the next numbers.
Here, the difference between the numbers is 2 & also it is multiplied by 2.
So, the next number after 10 will be 12.
Hence, the number is 12, and the final series is 2, 4, 6, 8, 10, 12.

Example 2:

Write the missing number in the sequence 4, 25, 46, 67, ……

Solution:

The given sequence is 4, 25, 46, 67, …..
Now, if you observe the sequence carefully the difference between numbers is 21.
If you add 21 to the given digit then, you will get the next series of the number i.e., 4 + 21 = 25, then add 25 + 21 = 46, like wise the next number is 67 + 21 = 88.
Therefore, the sequence is 4, 25, 46, 67, 88.

Example 3:

Write the next number for 1, 4, 9, 16, 25, ___, ___

Solution:

The given sequence is 1, 4, 9, 16, 25, __, __
If you observe them Squaring is the way to find out the next number.
1 square = 1, 2 square = 4, 3 square = 9, 4 square = 16, 5 square = 25.
Now, 6 square = 36, 7 square = 49.
Thus, the sequence is 1, 4, 9, 16, 25, 36, 49.

Example 4:

Finding the number for the series 27, 21, 15, 9, __, __

Solution:

The given numbers are 27, 21, 15, 9, __, __
If you notice the numbers closely the way you can do here is the subtraction.
Subtract the first number from the second number and then the second, third, etc.
27 – 21 = 6, 21 – 15 = 6, 15 – 9 = 6.
Now, if you subtract 6 to the previous number, you get the finding number i.e., 9 – 6 = 3,
3 – 6 = -3.
Thus, the series is 27, 21, 15, 9, 3, -3.

FAQs for Finding Numbers

1. What is the number sequence?

A mathematical sequence is one in which a term of a sequence is acquired by multiplying the previous term by a constant.

2. What is the trick to Finding out the Numbers?

Firstly, find the difference between the series. Subtract the first number from the second number and then the second number to the third number. Now, add the difference of the numbers to the last number to get the finding number.

3. What is the rule for Finding the Numbers?

When a given series continues with larger numbers then they are in ascending order. Ascending order involves the method of multiplication or addition to finding the numbers. Similarly, when the numbers continue with smaller numbers, they are in descending order. Descending order involves the method of division or subtraction.

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