You write a rule for the sequence then find the unknown term what is 1/2 - 2/3 5/6 1, 1 1/6

The last 4 terms all have 1/6 difference so 1/6x if x is the numbered term in the sequence. The first number doesn't follow f (x) = 1/6x so find the constant to add or subtract

1/2=1/6 (1) + ?

1/3 so the sequence is represented by f (x) = 1/6x+1/3

f (1) = 1/2

f (2) = 2/3

f (3) = 5/6

f (4) = 1

f (5) = 1 1/6

f (6) = 1 1/3