Question

The average of first 7 integers in a series of 13 consecutive odd integers is 37

Answer 1

Answer:

43

Step-by-step explanation:

Given : The average of first 7 integers in a series of 13 consecutive odd integers is 37. Find the average of the entire series.

Middle value is the average of odd terms. Now it is given 7 integers, so average of these seven numbers will be 1+2+3+4+5+6+7/7

       = 28/7  

      = 4

Now it is given average of first 7 integers of odd numbers is 37

So average of 7 terms is 4 th term = 37

So first odd number will be 31

So 13 th odd number will be 24 and 24 + 31 will be 55

Now average of these numbers will be 31 + 55 / 2  

                                                  = 86 / 2

                                                 = 43