Consider this pattern where the positive, proper fractions with denominator (n+1) are arranged in the nth row in a triangular formation. The 1st through 4th rows are shown; each row has one more entry than the previous row. What is the sum of the fractions in the 15th row?
Notice the progressive sums : 1/2, 1 , 3/2 , 2 = 1/2 + 2/2 + 3/2 + 4/2
So, it appears that the sum of the fractions in any row "n' will be = n/2
And in the 15th row the sum will be : 15/2 = 7.5
Cphill: Aren't the terms of the 15th row: 1/15, 2/15, 3/15...........14/15. The 15/15 not being considered a fraction but a whole number? So you have 14 terms: S=[1/15 +14/15] /2 x 14=7???.