Sample Problems on Consecutive Numbers
Here are some sample examples related to consecutive numbers:
Example 1: Find the value of integers, if the sum of two consecutive integers is 41?
Solution:
Let two consecutive numbers be z and z+1
Given that:
z+ (z+1)= 41
2z + 1 = 41
2z = 41-1
z = 40/2
z = 20 and z+1= 20+1= 21
Hence, the consecutive integers whose sum is 41 are 20 and 21.
Example 2: If two consecutive odd numbers have a sum of 92. Find the numbers?
Solution:
Suppose two consecutive odd numbers are n and n+2 since the odd consecutive numbers differ by 2.
Given that:
n+ (n+2)= 92
⇒ 2n+2= 92
⇒ 2n= 92-2
⇒ n= 90/2
⇒ n= 45 and n+2= 45+2= 47
Therefore, the two consecutive odd numbers whose sum is 92 are 45 and 47.
Example 3: Find the Sum of First 50 Natural Numbers.
Solution:
Since, n = 50
We know that sum of first ‘n’ natural numbers = n(n + 1)/2
Hence, Sum of First 50 natural numbers (50 × 51)/2 = 25 × 51 = 1275
Consecutive Numbers in Maths
Consecutive Numbers are the numbers that are next to each other in a queue. These numbers always consist of a difference of 1. The first step to understanding consecutive numbers is to be familiar with the number system.
In mathematics, numbers that sequentially follow one another from smallest to largest are known as consecutive numbers. This means that each number in the sequence is followed immediately by the next number without any gaps. For example, the consecutive numbers from 1 to 8 are 1, 2, 3, 4, 5, 6, 7, and 8.
In this article, we will understand the definition of consecutive numbers in maths followed by some basic examples, consecutive numbers from 1 to 100, their types, properties, formulas, how to find consecutive numbers, etc.
Table of Content
- What are Consecutive Numbers?
- Consecutive Numbers Examples
- Consecutive Numbers 1 to 100
- Types of Consecutive Numbers
- Properties of Consecutive Numbers
- HCF of Two Consecutive Numbers
- Consecutive Number Formulas
- Sum of Consecutive Numbers
- How to Find Consecutive Numbers when Sum is Given?