Question

is -150 a term of of the ap 11,8,5,2?

Answer 1

In this question,
You have to apply the formula
t = a+ (n-1)d
-150= 11 + (n-1)(-3)
you will n =164/3 which is not an integer.
So, -150 is not a term in the given AP.

Answer 2

Let -150 be nth term of AP
Nth term =a+(n-1)d
Here a is first term of AP
d is common difference
Nth term=11+(n-1)3
-150=11+3n-3
-150=8+3n
-150-8=3n
3n=-142
n=-142/3
It is not possible
So -150 is not a term