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Class 10MathematicsArithmetic Progressions (AP)Word problems based on APsEasy
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The service cost of a vehicle is (1500) rupees in the first year and increases by (400) rupees each next year. What is the cost in the (5)th year?

Answer and explanation

Correct answer: 3100 rupees

The service costs form an arithmetic progression with first term \(a=1500\) and common difference \(d=400\). The fifth-year cost is \(a_5=a+(5-1)d=1500+4\times400=3100\) rupees. Choosing 2900 would count only three increases, but there are four intervals from the first year to the fifth year. Exam tip: Use \(a_n=a+(n-1)d\) and count the intervals carefully.

Related tags

Arithmetic ProgressionAp Word ProblemsNth TermService CostClass 10 MathematicsWord Problems Based On ApsArithmetic Progressions (Ap)Arithmetic Progressions Ap
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