Question

check weather –150 is a term of the AP:11,8,5,2
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Answer 1

Step-by-step explanation:

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Class 11

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>>Check whether - 150 is a term of the AP

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Check whether−150 is a term of the AP:11, 8, 5, 2....

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Solution

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Here,a=11,d=8−11=−3

Let −150 be the nth term of the given A.P.

We know that,a

n

=a+(n−1)d

−150=11+(n−1)×−3

−150=11−3n+3

(−150)+(−14)=−3n

−3n=−164

3n=164

n=

3

164

So,it is clear that n is not an integer.

Therefore,−150 is not a term of the given A.P.

Answer 2

n is always a natural number so -150is not a term of this ap