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Class 10MathematicsArithmetic Progressions (AP)Word problems based on APsEasy
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In a warehouse the first rack has (12) sacks and each next rack has (6) more sacks. How many sacks are there on (8) racks?

Answer and explanation

Correct answer: 264

The numbers of sacks form an AP with first term \(a=12\), common difference \(d=6\), and \(n=8\) terms. Thus, \(S_8=\frac{8}{2}[2(12)+(8-1)6]=4(66)=264\). Therefore, the total on 8 racks is 264 sacks. Option 288 can result from adding terms incorrectly. Exam tip: for a total, use the sum formula \(S_n\), not only the nth-term formula.

Related tags

Arithmetic ProgressionAp Word ProblemsSum Of ApClass 10 MathematicsSequence And SeriesWord Problems Based On ApsArithmetic Progressions (Ap)Arithmetic Progressions Ap
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