ntamhane wrote:In a decreasing sequence of 8 consecutive integers, the sum of the last 4 integers is 298. what is the sum of the first 4 integers in the decreasing sequence?
When integers are evenly spaced, the average = the median.
Thus, the median of the last four integers = 298/4 = 74.5.
Thus, of the last four integers, the two largest are 76 and 75, implying that the first four integers are 80,79,78,and 77.
When integers are evenly spaced,
Average = (biggest + smallest)/2 and
Sum = Number * Average.
Thus, the sum of the first four integers = 4 * (80+77)/2 = 314.
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