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Class 10MathematicsArithmetic Progressions (AP)Word problems based on APsEasy
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In sports practice, running time is (15) minutes on the first day and increases by (5) minutes each next day. What is the running time on the (7)th day?

Answer and explanation

Correct answer: 45 minutes

The running times 15, 20, 25, ... form an arithmetic progression (AP), with first term \(a=15\) and common difference \(d=5\). The \(n\)th term is \(a_n=a+(n-1)d\). Therefore, \(a_7=15+(7-1)\times5=45\) minutes. Choosing 50 minutes would give the time for the eighth day, not the seventh. Exam tip: in the \(n\)th-term formula of an AP, add the common difference \(n-1\) times.

Related tags

Arithmetic ProgressionAp Word ProblemsNth TermClass 10 MathematicsSequence ApplicationWord Problems Based On ApsArithmetic Progressions (Ap)Arithmetic Progressions Ap
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