Determine a formula for an, the nth term of this sequence. in an arithmetic sequence of numbers, a3=16 and a6=46
46 = 16 + 3d
46 - 16 = 3d
30 = 3d
30/3 = d =10
a1 = a3 - 2d
a1 = 16 - 2(10)
a1 = 16 - 20
a1 = -4
Formula is
an = a1 + d ( n - 1)
an = -4 + 10 (n -1) for n ≥ 1