Question

General form of an odd number is

Answer 1

Hint: Here, we will use the concept of odd numbers to get the general form. We will use the fact that odd numbers are the numbers that cannot be divided by 2 and they are integers and not fractions. Then we will write the general form of the odd number.

Complete step-by-step answer:
We know that the general form is another way of expressing a term or the given function.
As we know that, the odd numbers are the numbers that are the even numbers plus one. And we know that the general form of the even numbers is \[2k\] where, \[k\] can be any integer ranging from 1,2,3,4…... Therefore, we get
General form of the odd number is \[n = 2k + 1\], where, \[k\] is an integer ranging from 0,1,2,3……...
We can also write the general form of odd numbers as \[n = 2k - 1\]. But in this case the value of \[k\] will be ranging from 1,2,3,4…..
Hence, the general form of the odd numbers is \[n = 2k + 1\] or \[n = 2k - 1\].

Note: A number can be either odd or even not both. Even numbers are any integer that can be divided exactly by 2 is an even number. The last digit is 0, 2, 4, 6 or 8. An even number is an integer which takes the form \[n = 2k\], where \[k\] is an integer. An integer is a number that can be negative, zero or positive but it can never be a fraction. Both odd and even numbers are integers. In addition, 2 is the only even number which is prime and 1 is the odd number that is neither prime nor composite.