Question

find the sum of all even number natural number upto 74​

Answer 1

The number series are :-

• 1 , 2 , 3 , ..............., 72 , 73 , 74

❤ The first term (a) = 1

❤ The common difference (d) = ${d}_{2}$ - ${d}_{1}$ = 2 - 1 = 1

❤ Total no. of terms (n) = 74

Sum of all even natural number upto 74 =

• $\frac{n}{2}$ × (a + ${T}_{n}$)

• $\frac{74}{2}$ × (1 + 74)

• $\frac{5550}{2}$

• 2775

:. The sum of all even natural numbers upto 74 is 2775