Question

find the sum of all even natural numbers less than 75​

Answer 1

Answer:

Answer. Hence, the sum of all even natural numbers less than 75 is 1,406..

Answer 2

Answer:

1406

Step-by-step explanation:

Even natural numbers are given as:

2, 4, 6, 8, 10...........74

Here, a = 2, d = 2, an = 74

number of even natural numbers between 1 and 74:

an = a + (n-1) d

74 = 2 + (n - 1) 2

74 = 2 + 2n - 2

so, 2n = 74

n = 74/2 = 37

so, the number of even natural numbers between 1 and 75 is 37

Sn = n/2 ( a + an)

Sn = 37/2 ( 2 + 74)

Sn = 37/2 x 76

Sn = 37 x 38 = 1406

so, the sum of the even natural numbers between 1 and 75 is 1406