Question

The three numbers x + 2, 3x − 1, and x^2 + 2 are the first three terms of an arithmetic progression (arithmetic sequence). By using the definition of an arithmetic progression, or otherwise, find the possible values of x, and in each case write down the first 4 terms of the A.P.

Answer 1

for A.P: a,b,c.........z
we know that b^2 = a * c .
nw see the diagram