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Class 10MathematicsArithmetic Progressions (AP)Word problems based on APsEasy
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In a water tank (25) litres are filled in the first hour and (5) litres more in each next hour. How much water is filled in the (9)th hour?

Answer and explanation

Correct answer: 65 litres

The amount filled each hour forms an arithmetic progression with first term \(a=25\) and common difference \(d=5\). The amount in the 9th hour is \(a_9=a+(9-1)d=25+8\times5=65\) litres. Choosing 60 litres counts only 7 increases. Exam tip: for the \(n\)th term, add the common difference \(n-1\) times.

Related tags

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