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Class 10MathematicsArithmetic Progressions (AP)Word problems based on APsEasy
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In a race, the first lap is (100) metres and each next lap is (20) metres longer. What is the length of the (6)th lap?

Answer and explanation

Correct answer: 200 metres

The lap lengths form an arithmetic progression with first term 100 and common difference 20. The sixth term is \(a_6=a+(6-1)d=100+5\times20=200\) metres. Choosing 220 metres incorrectly adds the increase six times; there are only five increases after the first lap. Exam tip: use \(a_n=a+(n-1)d\) for the nth term of an AP.

Related tags

Arithmetic ProgressionNth TermWord ProblemsClass 10 MathematicsCommon DifferenceWord Problems Based On ApsArithmetic Progressions (Ap)Arithmetic Progressions Ap
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