Question : The average of the first 7 integers in a series of 13 consecutive odd integers is 37, what is the average of the entire series?
Option 1: 37
Option 2: 39
Option 3: 41
Option 4: 43
Correct Answer: 43
Solution :
Given: That average of 7 consecutive odd integers = 37
Fourth odd number = 37
The average of 13 consecutive terms is the 7
th
term.
So, 7
th
term = 4
th
term + 3 × 2
⇒ 7th term = 37 + 6 = 43
Hence, the correct answer is 43.
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