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Class 10MathematicsArithmetic Progressions (AP)Word problems based on APsEasy
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A medicine dose is (15) mg on the first day and increases by (5) mg each next day. What is the dose on the (7)th day?

Answer and explanation

Correct answer: 45 mg

The doses form an arithmetic progression (AP), with first term \(a=15\) mg and common difference \(d=5\) mg. The dose on day \(7\) is \(a_7=a+(7-1)d=15+6\times5=45\) mg. Choosing 40 mg counts only 5 increases, but there are 6 increases from day 1 to day 7. Exam tip: Use \(a_n=a+(n-1)d\) for the \(n\)th term of an AP.

Related tags

Arithmetic ProgressionAp Word ProblemsNth TermCommon DifferenceMathematics Class 10Word Problems Based On ApsArithmetic Progressions (Ap)Arithmetic Progressions Ap
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