Question

What is the sum of all even natural numbers less than 75?

Answer 1

Even = 74

N = 74/2 = 37

37+1= 38 (to make it even number)

Now,

37*38 = 1,406

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

Answer 2

Answer:

The sum of all even natural numbers less than 75 = 1406

Step-by-step explanation:

2,4,6,8,....,74 are all even natural numbers less than 75 are in A.P.

first term (a) = 2 ,

common difference (d)=a2-a1

=> d = 4-2 = 2

last term (l) = 74

Number of terms (n) = 34

$\boxed {Sum \: of \: n \: terms \: \\=S_{n} =\frac{n}{2}(a+l)}$

$\implies S_{37}=\frac{37}{2}(2+74)$

$\implies S_{37}=\frac{37}{2}\times 76$

= $37 \times 38$

= $1406$

Therefore,

The sum of all even natural numbers less than 75 = 1406

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