Question

check whether - 150 is a term of the AP 11.8.5.2​

Answer 1

-150=11+(n-1)×(-3)

-150=11-3n+3

-150=14-3n

3n=164

n=54.7

it is not possible because n is a whole number

hence -150 is not term of given AP

Answer 2

☺ Hello mate__ ❤

◾◾here is your answer...

Let −150 is the nth of AP 11,8,5,2...     

which means that  an'=−150

Here, First term = a = 11

Common difference = d = 8 - 11 = -3

Using formula an'=a+(n−1)d,  

to find nth term of arithmetic progression, we get

−150=11+(n−1)(−3)

⇒−150=11−3n+3

⇒3n=164

⇒n=164/3

But, n cannot be in fraction. Therefore, our supposition is wrong. −150 cannot be term in AP.

I hope, this will help you.

Thank you______❤

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