(Q20).Check whether, -150 is a term of the AP: 11, 8, 5, 2…

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= + =

∴ n =
=

Here n is not an integer.

∴ - is not a term of the given A.P.