Question

find the sum of all even numbers from 1 to 350​

Answer 1

The series is

2,4,6,.....,348

a=2

d=4-2=2

l=348

let the nth term of the series is 348...

now...

348=2+(n-1)2

=>348/2=n

=>174=n

s(n)=(174/2)(2+348)=30450

Answer 2

Hello !!

Find the number of terms.

An = Ak + (n - k) × d

348 = 2 + (n - 1) × 2

348 = 2 + 2n - 2

348 = 2n - 2 + 2

348 = 2n

2n = 348

n = 348/2

n = 174

Now, you find the sum of all even numbers from 1 to 350.

Sn = (n/2) × [2Ak + (n - k) × d]

S174 = (174/2) × [2(2) + (174 - 1) × 2]

S174 = (174/2) × [4 + 173 × 2]

S174 = (174/2) × [4 + 346]

S174 = (174/2) × 350

S174 = 87 × 350

S174 = 30450

Final result : 30450 is the sum.

I hope I have collaborated !