If 3,p,q,24 are consecutive terms of a linear sequence, find the values of p and q.

Answer 1

since there is a common difference,
p-3 = q-p
q-p = 24-q
Solve for p and q.

Or, since the 4th term is a+3d, 3d = 24-3 = 21.
Now you have d, so just use that to generate each term.