Answer:
The sum of the first 100 even natural numbers = 10, 100
Step-by-step explanation:
We can compute the sum of the first 100 even natural numbers using the formula
[tex]S=\frac{n\left(n+1\right)}{2}[/tex]
Replacing n with the number of terms i.e. 100
[tex]S=\frac{100\left(100+1\right)}{2}[/tex]
[tex]S=\frac{10100}{2}[/tex] ∵ [tex]100\left(100+1\right)=10100[/tex]
[tex]S=5050[/tex]
As we have to look for even number, just multiply them by [tex]2[/tex]
[tex]5050\:\times \:2\:=10,100[/tex]
Therefore, the sum of the first 100 even natural numbers = 10, 100
