What is the sum of all even natural numbers smaller than 301?
Answer
Correct Answer : b ) 11400
Explanation :As we know that, natural numbers are integers starting from 1, 2, 3,......so on.
Even Numbers are numbers that gives remainder as 0 when divided by 2.
The even natural numbers are 2, 4, 6, 8,....
In the given question, the last term of the series will be 300.
The series is 2, 4, 6, 8,.........300
The series is an arithmetic progression with
First term, a1 = 2
Common difference, d = 2
Last term, l = 300
We know that,
an = a1 + (n-1)*d
To find n,
300 = 2 +(n - 1)*2
298/2 = n - 1
149 + 1 = n
n = 150
We know that,
Sum of n terms, Sn = (n/2)* [a + l]
S150 = (150/2)*[2 + 150]
S150 = 11400
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