Question

what is the average of 29 consecutive integers?

Answer 1

the fifteenth

Answer 2

how? and why?

Answer 3

(29+1)/2 = 15

Answer 4

let the first one =x,
so they are x, x+1,x+2...x+28
ave=(x+x+1+x+2+..+x+28)/29
=(29x+(1+28)*29/2)/29
=x+14
it is the fifteenth one

Answer 5

Sum of n consecutive natural numbers is n(n+1)/2