Given: A.P. = 11, 8, 5, 2…
Here a1 = a = ;
d = a2 – a1 = – = -
If possible, take – as the nth term of the given A.P.
an = a + (n – 1) d
⇒ - = + (n – 1) × (-)
⇒ - = – n +
⇒ – n = –
⇒ n= + =
Here n is not an integer.
∴ - is not a term of the given A.P.