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Class 10MathematicsArithmetic Progressions (AP)Word problems based on APsEasy
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In a warehouse, the first rack has (14) sacks and each next rack has (6) more sacks. How many sacks are on the (7)th rack?

Answer and explanation

Correct answer: 50

The sack counts form an arithmetic progression with first term \(a=14\) and common difference \(d=6\). For the \(7\)th rack, \(a_7=a+(7-1)d=14+6\times6=50\). Therefore, 50 is correct. The value 56 would result from adding the difference seven times instead of six times. 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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