Question

To find sum of all evenon betwern
1 to 350​

Answer 1

The sum of all even number from 1 to 350 is 30800

Answer 2

Answer:

Sum of all even numbers between 1 and 350 is 30450

Sum of all even numbers from 1 to 350 is 30800

Step-by-step explanation:

To find the sum of all even numbers between 1 and 350

This is an arithmetic progression series where a=2, d=2, tn=348 and we need to find out “n”, using the formula,

Tn = a+(n-1)d

348 = 2 + (n-1)2

348 = 2+2n-2

2n = 348

n = 174

Substituting the value of n in the formula of Sn, we get

$Sn = \frac{n}{2} \times [2a+(n-1)d] \\ Sn = \frac{174}{2} \times [2 \times 2+(174−1)2] \\ Sn = \frac{174}{2} \times [4+173 \times 2] \\ Sn = \frac{174}{2} \times [350] \\ Sn = 87 \times 350 = 30450$