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In the AP (112,101,90,\ldots), what is the first term less than (15)?

Answer and explanation

Correct answer: 13

The first term is 112 and the common difference is \(d=101-112=-11\). The relevant consecutive terms are \(35, 24, 13\). Since 24 is greater than 15 and the next term, 13, is less than 15, 13 is the first term below 15. Although 2 and -9 are also less than 15, they occur later. Exam tip: In a decreasing AP, check the two consecutive terms around the given boundary.

Related tags

Arithmetic ProgressionNth TermDecreasing ApCommon DifferenceClass 10 MathematicsFinding The $N$Th Term Of An ApFinding The N Th Term Of An ApArithmetic Progressions (Ap)

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