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Class 10MathematicsArithmetic Progressions (AP)Word problems based on APsHard
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In a garden the first row has (25) plants and each next row has (8) more plants. Which row will have (153) plants?

Answer and explanation

Correct answer: 17

The numbers of plants form an arithmetic progression with first term 25 and common difference 8. Therefore, the number of plants in the nth row is \(a_n=25+(n-1)\times8\). Putting \(a_n=153\), we get \(25+(n-1)\times8=153\), so \(8(n-1)=128\) and hence \(n=17\). The 18th row would contain \(161\) plants, so it is not correct. Exam tip: equate the given target value to \(a_n\) and solve for \(n\).

Related tags

Arithmetic ProgressionAp Word ProblemsNth TermClass 10 MathematicsWord Problems Based On ApsArithmetic Progressions (Ap)Arithmetic Progressions ApMathematics
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