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Question 6
Check whether -150 is a term of the A.P. 11, 8, 5, 2, …

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Solution

For this A.P,a=11d=a2a1=811=3Let 150 be the nth term of this A.P.We know that, an=a+(n1)d150=11+(n1)(3)164=3nn=1643
Clearly, n is not an integer.
Therefore, - 150 is not a term of this A.P.

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