The average of five consecutive even numbers is n? If the next two even numbers are also included, the average will:
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Answer:
The new average will be (n+2)
Step-by-step explanation:
Let the five consecutive even numbers be:
(n-4), (n-2), n, (n+2) and (n+4)
We can denote the numbers as above because the average of these 5 numbers is
= Sum of 5 numbers / 5
= 5n / 5
= n, which is as given in the problem.
The next two numbers in the series would therefore be: (n+6) and (n+8)
The sum of all 7 numbers = 5n + (n+6) + (n+8)
= 7n + 14
Average of all 7 numbers = (7n + 14)/7
= 7(n + 2)/7
= n + 2
The new average will be (n+2)
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