Which term of the A.P. 53, 48, 43, .... is the first negative term?

Question

KnowledgeBoat · Accepted Answer

Let us first evaluate which term is 0 because the next term will be the term containing first negative number. a = 53, d = 48 - 53 = -5, a_n = 0. By formula, a_n = a + (n - 1)d ⇒ a_n = 53 + (n - 1)(-5) ⇒ 0 = 53 - 5n + 5 ⇒ 5n = 58 ⇒ n = The next term will be containing the first negative number. Hence, the 12th term will contain the first negative number.

Mathematics

Which term of the A.P. 53, 48, 43, …. is the first negative term?

AP GP

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