Question

If a,b,c,d and e are five consecutive odd integers, then what is their possible average

Answer 1

a, b, c, d, e are in arithmetic progression, i.e. their difference is constant,in this case, 2 is the difference.

a = c-4 b = c-2 d = c+2 e = c+4 Average = (a + b + c + d + e) / 5 Average = (c - 4 + c - 2 + c + c + 2 +c + 4) / 5

-4, +4, -2, +2 will get cancelled.

Therefore, Average = 5(c)/5

Average = c

Hope this helps! :)