TopA Set of Numbers which start from 1 to any infinite positive number is known as natural number. Natural numbers does not include negative numbers and decimal number and fraction number are also not included in the natural number set. The number zero is also a natural number.

Now we see some of the consecutive Natural Numbers.

For example: the numbers 14, 15, 16, 17, 18, 19, 20 and so on, are all the consecutive natural numbers.

Representation of a natural number is “N”.

For example: The set of natural number is n = 20, 21, 22, 23, 24, 25, 26 then calculate the sum of natural numbers?

Solution: Given, the set of consecutive natural number:

N = 20, 21, 22, 23, 24, 25, 26 all are consecutive natural numbers.

When we find the sum of consecutive natural number then we add all the values one by one. After adding all the values we get:

20 + 21 = 41;

20 + 21 + 22 = 63;

20 + 21 + 22 + 23 = 86;

20 + 21 + 22 + 23 + 24 = 110;

20 + 21 + 22 + 23 + 24 + 25 = 135;

20 + 21 + 22 + 23 + 24 + 25 + 26 = 161;

And so on… in the above example we see that the sum of consecutive natural number is sometimes even and sometimes odd.

There are some properties of natural numbers which are:

We know that the 1 is the first and smallest natural numbers.

Every consecutive natural is obtained by adding 1 to the previous natural number, in these values the number 1 is not included because 1 is also a natural number and for this number there is no previous natural number.