Question

Find the sum of all even numbers 1 to 35.​

Answer 1

Answer:

2 , 4,6,8,10,12,14,16,18 ,20,22,24,26,28,30,32,35

Answer 2

Answer:

Hey!!!

Step-by-step explanation:

The sum of all even numbers from 1 to 35 is 30800.

Given:

We have been given range from 1 to 35.

Solution:

Between the above range from 1 to 35, the even numbers are:

2, 4, 6, 8, 10, 12, 14...................34.  

The above is known as Arithmetic progression in which the first term is 2.

Let us denote terms as t.

Difference between terms  

Number of terms between 1 and 35 .

Sum of the Arithmetic progression  

Whereas n = number of terms, a = first term and l = last term.

n =16 , a = 2, l = 34

$S_{16}$ = $\frac{16}{2}$ [2+34]

    = 8 × 36

    = 288

∴ The sum of all even numbers between 1 to 35 is 288 .

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