Question discussion

The average of all odd numbers from 113 to 159 is ______.

138061Medium 2 replies 1,679 views
0
CCommunity
First we need to find the total number of odd numbers,

Last number = 159 and First number = 113

According to AP,

⇒ 159 = 113 + 2(n - 1)

⇒ n - 1 = 23

⇒ n = 24

∴ Sum of 24 odd numbers from 113 to 159 = 24/2 × [2 × 113 + 2(24 - 1)]

⇒ 12 × [226 + 46]

⇒ 3264

∴ Average = 3264/24 = 136
0
CCommunity
If there are arithmetic series

We can directly (113+159)/2 = 136