2, 3, 5, 7, 8, 10, 15, …… is not an A.P.
∵ a2 – a1 = – =
a3 – a2 = – =
a4 – a3 = – =
i.e., The difference between any successive terms is not same throughout the .
The given list does not form an A.P, since each term is not obtained by adding a fixed number to its term.
-1,-3,-5,-7,….. is an A.P.
a2 – a1 = – – (- ) = - + = -
a3 – a2 = – – (-) = - + = -
a4 – a3 = – – (- ) = - + = -
Every number is formed by adding a fixed number to its term,