How to solve Consecutive Integers

Integers are the numbers which can be expressed in the series from minus infinite to plus infinite. Now let us look at the consecutive integers. Two integers which exist one after another when they are expressed on the number line are called consecutive numbers. If we have any number n, then the successor  and the predecessor of the number n forms the series of the consecutive numbers. So if we have n = 5, then we have n-1 = 5 – 1 = 4 and  n + 1 = 5 + 1 = 6. Thus the series 4 , 5 , 6  are called consecutive numbers.   There series of consecutive numbers can be used to solve many word problem related to linear equations.  In case we talk about any 3 consecutive integers, we say that series will be x, x + 1 and x + 2. On the other hand if we need to write the series of even numbers, then we know that each even number is the multiple of 2, so the first number will be 2 * x. (know more about Integers, here

Thus the series of consecutive integers will be  2x , 2x + 2, 2x + 4. Now we will assume the series of odd consecutive integer numbers. For this we will assume the first odd integer as  2x + 1. The next odd integer will be  2x + 3, 2x + 5. Thus the series of consecutive odd numbers will be  2x + 1, 2x + 3 and 2x + 5.
 If we have the problem that the sum of 3 consecutive integers is 36, find the integers. Then we will first assume the three numbers as x , x + 1 and x + 2. Thus we represent the sum as :
X + x + 1 + x + 2  = 36
Or 3x + 3 = 36
Or 3x = 36 – 3
Or 3x = 33
Or x = 33/ 3 = 11
SO  the three numbers are 11, 12 and 13.
 In order to learn How do you Find the Circumference of a Circle, we can take online help from math tutor and learn  the concepts in details. CBSE physics syllabus is also available online and we can download the curriculum for different grades from it and In the next session we will discuss about Consecutive Odd Integers.