Question

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

Answer 1

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