Question

What is the average of all odd numbers less than 100?

Answer 1

Answer:

The desired sum = (1 + 3 + 5 +7 + .... + 99)

Let these numbers be N,

then a + (n - 1) d = 99

Hence 1 + (n - 1) X 2 = 99

(n -1) = 98/2 = 49,

N = 50

Sum of these = n / 2 (a + I) = 50 / 2X (1 + 99)

= (25 X 100) = 2500

Intended average = 2500 / 50

= 50.

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