Is -150 a term of 11, 8, 5, 2, .........?

Question

KnowledgeBoat · Accepted Answer

In above sequence, 8 - 11 = -3 and 5 - 8 = -3. Hence, above sequence is an A.P. with common difference = -3. Let -150 be n^th term of the A.P. ∴ a_n = -150 ⇒ a + (n - 1)d = -150 ⇒ 11 + (-3)(n - 1) = -150 ⇒ 11 - 3n + 3 = -150 ⇒ 14 - 3n = -150 ⇒ -3n = -164 ⇒ n = . Since, no. of terms cannot be in fraction. Hence, -150 is not a term of 11, 8, 5, 2, .........

Mathematics

Is -150 a term of 11, 8, 5, 2, ………?

AP

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