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Class 10MathematicsArithmetic Progressions (AP)Word problems based on APsEasy
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A call centre handles (45) calls in the first hour and (5) more calls each next hour. How many calls are handled in the (9)th hour?

Answer and explanation

Correct answer: 85

The number of calls handled per hour forms an arithmetic progression with first term 45 and common difference 5. For the ninth hour: \(a_9 = 45 + (9-1)\times 5 = 45 + 40 = 85\). Therefore, 85 is correct. Choosing 90 would result from using the term position incorrectly. Exam tip: use \(a_n=a+(n-1)d\) to find the nth term of an AP.

Related tags

Arithmetic ProgressionAp Word ProblemsNth TermCommon DifferenceClass 10 MathematicsWord Problems Based On ApsArithmetic Progressions (Ap)Arithmetic Progressions Ap
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