Which term of the AP 24,21,18,15,.......Is the first negative term?

1.	Which term of the AP 24,21,18,15,.......Is the first negative term?
Answer» Let nth term of the given AP be the first negative term.\xa0AP = 24 , 21 , 18\xa0Here,\xa0First term ( a ) = 24\xa0Commmon difference ( d ) = 21-24 = -4.Then , Tn <0=> { a + ( n - 1 ) × d } <0=> { 24 + ( n - 1 ) × -3 } <0=> 27 - 3n <0=> 27 < 3n=> 3n > 27=> n = 9.n = 10Hence,The 10th term is the first negative term of the given AP.\xa0 -3 -3

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