Question

Find Average of all the even numbers from 1 to 500

Answer 1

Answer:

Step-by-step explanation:

Even no.s from 1 to 500 are

2,4,6,8.....500

Clearly it forms an A.P

with a=2 and d=2

now nth term =500

a+(n-1)d=500

2+(n-1)2=500

(n-1)2=498

n-1=498/2=249

n=249-1

n=248

now, average = sum of the terms/no. of terms

=n/2(a+last term)/n

=248/2(2+500)/248

=124(502)/248

=502/2

=251