CONSECUTIVE NUMBERS

Consecutive Numbers

Definition Of Consecutive Numbers

The integer numbers, one after the other, are known as Consecutive Numbers.

More About Consecutive Numbers

The difference between any two consecutive integers is 1.
Out of any two consecutive numbers, one must be even and one must be odd.

Video Examples: Algebra and Consecutive Numbers

Example of Consecutive Numbers

19, 20, 21..are consecutive integers.
The consecutive odd numbers between 0 and 10 are 1, 3, 5, 7, and 9.

Solved Example on Consecutive Numbers

Ques: Find out the addition of consecutive even numbers between 15 and 25.

Choices:

A. 98
B. 100
C. 90
D. 110
Correct Answer: B

Solution:

Step 1: Consecutive numbers are those that follow each other in an unbroken sequence.
Step 2: Between 15 and 25, the even numbers are 16, 18, 20, 22, and 24. [Numbers which are divisible by 2 are called even numbers.]
Step 3: Sum = 16 + 18 + 20 + 22 + 24
Step 4: = 100
Step 5: Hence, the addition of consecutive even numbers between 15 and 25 are 100.

Quick Summary

Consecutive numbers are integers that follow each other in sequence.
The difference between consecutive integers is always 1.
Consecutive even numbers have a difference of 2, as do consecutive odd numbers.

\[ n, n+1, n+2, ... \]

🍎 Teacher Insights

Use real-world examples, like ages of siblings or counting objects, to illustrate the concept.

🎓 Prerequisites

Integers
Addition

Check Your Knowledge

Q1: Which of the following are consecutive numbers?

A. 2, 4, 6 B. 10, 11, 12 C. 1, 3, 5 D. 5, 10, 15

Q2: What is the next consecutive number after 25?

A. 24 B. 26 C. 27 D. 30

Frequently Asked Questions

Q: What are consecutive even numbers?
A: Consecutive even numbers are even numbers that follow each other in sequence, such as 2, 4, 6.

Q: What are consecutive odd numbers?
A: Consecutive odd numbers are odd numbers that follow each other in sequence, such as 1, 3, 5.