Question

The average of all odd numbers less than 100 is-----------?

Answer 1

This is similar to the last deal. You're looking for:

[sum of all odd numbers from 1 to 99]/[number of terms]

The common difference is 2, and you have 50 terms in the sum, as given by,

99 = 2 + (n-1)*2 -> n = 50 by same reasoning as in your last question. This will be your denominator.

Now we need to find the numerator. It will be an arithmetic sum, as before:

(n/2)(a[1]+a[50]) = (50/2)*(1+99) = 2500.

The average is then,

2500/50 = 50