Suppose a,c∈Q and b∈R−Q then which one of the following can be true?

Suppose $a, c \in Q and b \in R - Q$ then which one of the following can be true?

A
$a, b + 2, c$ are in A.P.
B
$a, b + 1, c$ are in G.P
C
$a, b - 3, c$ are in H.P
D
$a, b - 2, c$ are in A.P.

Solution:

For example, if $a = 2, b = 2 - 1, c = 1,$ then $a, b + 1, c$ forms a G.P.

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