Answer:4/27Step-by-step explanation:The reciprocals of the terms are15/4, 9/2, 21/4, 6/1Converting to a common denominator, the sequence is15/4, 18/4, 21/4, 24/4 The commdon difference is 3/4The next term in the sequence of reciprocals is24/4 + 3/4 = 27/4The reciprocal of 27/4 is 4/27