Question 6 Check whether -150 is a term of the A.P. 11, 8, 5, 2, …
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Solution
ForthisA.P,a=11d=a2−a1=8−11=−3Let−150bethenthtermofthisA.P.Weknowthat,an=a+(n−1)d−150=11+(n−1)(−3)−164=−3nn=1643 Clearly, n is not an integer. Therefore, - 150 is not a term of this A.P.