There are infinitely many cubic functions that can be the rule for the above set of numbers. The simplest, though, is the linear rule:
Un = 8n - 1 for n = 1, 2, 3, ...
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7
-7
the LCM is 15, so 7/3 is 35/15 and 4/5 is 12/15 35-12 is 23. 23/15 is the answer
7 and 10/15 + 2 and 12/15 = 9 and 22/15 = 10 and 7/15
3 and 2 over 7 = ( 3*7 + 2 )/ 7 = 23/7 7 and 1 over 15 = ( 7*15 + 1 ) / 15 = 106/15 The least common multiple of 7 and 15 is 105 So, 23/7 + 106/15 = 23*15 / 105 + 106*7 / 105 = 345 / 105 + 742 / 105 = 1087 / 105 = (1050 + 37 ) / 105 = 10 and 37 over 105