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Class 10MathematicsArithmetic Progressions (AP)Word problems based on APsEasy
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In a nursery, the first section has (13) pots and each next section has (2) more pots. How many pots are in the (11)th section?

Answer and explanation

Correct answer: 33

The numbers of pots form an arithmetic progression with first term \(a=13\), common difference \(d=2\), and \(n=11\). \(a_{11}=a+(n-1)d=13+(11-1)\times2=33\). Therefore, the 11th section has 33 pots. Choosing 31 would mean adding 2 only nine times. Exam tip: for the \(n\)th term, use \(n-1\) differences, not \(n\).

Related tags

Arithmetic ProgressionNth TermAp Word ProblemsClass 10 MathematicsWord Problems Based On ApsArithmetic Progressions (Ap)Arithmetic Progressions ApMathematics
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