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Class 10MathematicsArithmetic Progressions (AP)Word problems based on APsEasy
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A cloth shop sells (35) metres of cloth on the first day and (5) metres more each next day. How many metres of cloth are sold on the (10)th day?

Answer and explanation

Correct answer: 80 metres

The daily sales form an arithmetic progression (AP), with first term \(a=35\) and common difference \(d=5\). Sales on the 10th day are \(a_{10}=a+(10-1)d=35+9\times5=80\) metres. Choosing \(85\) metres incorrectly counts 10 increases instead of 9. Exam tip: for the \(n\)th term of an AP, add \(n-1\) common differences.

Related tags

Arithmetic ProgressionAp Word ProblemsNth TermCommon DifferenceClass 10 MathematicsWord Problems Based On ApsArithmetic Progressions (Ap)Arithmetic Progressions Ap
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