Sum of first n natural numbers
Answers
Given:
First n natural numbers
To Find:
Sum of first n natural numbers
Solution:
In the number system, all the positive integers from 1 to infinity are termed as natural numbers.
Let Sn the sum of first n natural numbers
⇒ Sn = 1 + 2 +3 +.......+ n
⇒ --------------------(a)
Putting a =1 and d = (2 - 1) =1 in eq (a)
⇒
∴
Hence the sum of first n natural numbers is .
SOLUTION
TO DETERMINE
Sum of first n natural numbers
CONCEPT TO BE IMPLEMENTED
If in an arithmetic progression
First term & Last term is given
Then the sum
Where n is the number of terms in the progression
EVALUATION
Here we have to find the Sum of first n natural numbers
Then the progression is 1 , 2, 3 , ...... , n
First term = a = 1
Second term = 2
Third term = 3
∴ Second Term - First term = Third term - Second term
Hence it is an arithmetic progression
Number of terms = n
Hence the required sum
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