Insert three fractions between 1/4 and 1/3 so the five fractions form an arithmetic sequence. What is the sum, expressed as a common fraction, of these three new fractions?
1/4 = first term 1/3 = 5th term
So.....
1/4 + 4d = 1/3
4d = 1/3 - 1/4
4d = 1/12
d =1/48
1/4 + 1/48 = 13/48 = 2nd term
13/48 + 1/48 = 14/48 = 3rd term
14/48 + 1/48 = 15/48 = 4th term
Sum = (13 + 14 + 15) / 48 = 42 / 48 = 7/8
