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In the AP (90,83,76,\ldots), which is the last term greater than (20)?

Answer and explanation

Correct answer: 27

Here, the first term is \(a=90\) and the common difference is \(d=-7\). The terms proceed as \(90,83,76,\ldots,27,20\). The next term after \(27\) is \(20\), which is not greater than \(20\). Therefore, the last term greater than \(20\) is \(27\). Exam tip: In a decreasing AP, check the two consecutive terms around the given limit.

Related tags

Arithmetic ProgressionNth TermCommon DifferenceDecreasing SequenceClass 10 MathematicsFinding The $N$Th Term Of An ApFinding The N Th Term Of An ApArithmetic Progressions (Ap)

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