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A craftsperson makes (10) toys on the first day and (3) more toys each next day. How many toys are made on the (11)th day?

Answer and explanation

Correct answer: 40

This forms an arithmetic progression with first term \(a=10\) and common difference \(d=3\). The 11th term is \(a_{11}=a+(11-1)d=10+10\times3=40\). Therefore, the correct answer is 40. Getting 42 would result from counting the number of increases incorrectly. Exam tip: Use \(a_n=a+(n-1)d\) for the \(n\)th term of an AP.

Related tags

Arithmetic ProgressionNth TermAp Word ProblemsLinear SequenceClass 10 MathematicsWord Problems Based On ApsArithmetic Progressions (Ap)Arithmetic Progressions Ap

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