Which term of the A.P. 105, 101, 97, ........., is the first negative term?

Question

KnowledgeBoat · Accepted Answer

Let the first negative term be n. ⇒ a_n 0 ⇒ a + (n - 1)d 0 ⇒ 105 + (n - 1)(-4) 0 ⇒ 105 - 4n + 4 0 ⇒ 109 - 4n 0 ⇒ 4n 109 ⇒ n Given, n . So after 27^th term next terms will be negative so the first term to be negative will be 28^th. Hence, 28^th term is the first negative term.

Mathematics

Which term of the A.P. 105, 101, 97, ………, is the first negative term?

AP

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