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In the AP (128,119,110,\ldots), which is the last term greater than (30)?

Answer and explanation

Correct answer: 38

The first term of the AP is 128 and the common difference is \(d=-9\). The term after 38 is \(38-9=29\). Since \(38>30\) but \(29<30\), 38 is the last term greater than 30. Option 29 is a close distractor, but it is not greater than 30. Exam tip: In a decreasing AP, check the next term to confirm that it crosses the given limit.

Related tags

Arithmetic ProgressionDecreasing ApNth TermCommon DifferenceInequalitiesFinding The $N$Th Term Of An ApFinding The N Th Term Of An ApArithmetic Progressions (Ap)

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