Question

What is the sum of all the even numbers between 1 to 200

Answer 1

sum of 5 consecutive even numbers A, B, C, D and E is 130.

Answer 2

Step-by-step explanation:

What is the sum of all of the even numbers from 2 to 200?

There are two method to solve this problem.

First method: using AP series

First term of an AP =2, common difference =2

No of term =100 why

Last term =200=2+(n-1)*2

n=100

Sum of n term =(n/2)[2a+(n-1)d]

=(100/2)[2*2+(100–1)*2]

=50*(202)=10100.

Second method:

Sum=2+4+6+8+……….+198+200

=2(1+2+3+4+5+…….+99+100)

=2*sum of first 100 natural number

=2*n*(n+1)/2

=2*100*101/2

=10100.

Hope it helps u