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Class 10MathematicsArithmetic Progressions (AP)Word problems based on APsEasy
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In a water tank (30) litres are filled in the first hour and (10) litres more in each next hour. How much water is filled in the (8)th hour?

Answer and explanation

Correct answer: 100 litres

The amounts filled each hour form an AP with first term \(a=30\) and common difference \(d=10\). The amount filled in the eighth hour is \(a_8=a+(8-1)d=30+7\times10=100\) litres. Getting 110 litres would incorrectly add nine differences instead of seven. Exam tip: for the \(n\)th term, use \(n-1\) 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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