Question

6. Check whether - 150 is a term of the AP: 11.8.5.2...?
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Answer 1

Clearly, the given Sequence is an AP with first term a=11 and common difference d=8−11=−3.

Let −150 be the nth term of the given AP.

⇒an=−150

⇒a+(n−1)d=−150

⇒11+(n−1)×−3=−150

⇒(n−1)×−3=−161

⇒−3n+3=−161

⇒−3n=−164⇒n=5432

Since, n is not a natural number.

Hence, −150 is not any term of given AP.