Question 132

# Consider a sequence of seven consecutive integers. The average of the first five integers is n. The average of all the seven integers is:[CAT 2000]

Solution

The first five numbers could be n-2, n-1, n, n+1, n+2. The next two number would then be, n+3 and n+4, in which case, the average of all the 7 numbers would be $$\frac{(5n+2n+7)}{7}$$ = n+1