What are the first three terms of the arithmetic sequence defined explicitly by the formula: an=1/4+2/3 n

Answer 1

The first three terms of the arithmetic sequence defined by the formula an=1/4+2/3 n are:

a1 = 1/4 + 2/3(1) = 1/4 + 2/3 = 3/12 + 8/12 = 11/12

a2 = 1/4 + 2/3(2) = 1/4 + 4/3 = 3/12 + 16/12 = 19/12

a3 = 1/4 + 2/3(3) = 1/4 + 6/3 = 3/12 + 24/12 = 27/12 = 9/4