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Class 10MathematicsArithmetic Progressions (AP)Word problems based on APsEasyLevel 71
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In a flower decoration the first row has (7) flowers and each next row has (4) more flowers. How many flowers are there in (9) rows?

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Answer and explanation

Correct answer: 207

The flower counts form an arithmetic progression with first term \(a=7\), common difference \(d=4\), and \(n=9\) terms. Thus, \(S_9=\frac{9}{2}[2(7)+(9-1)4]=\frac{9}{2}(46)=207\). Therefore, there are 207 flowers in 9 rows. A value such as 216 can result from incorrectly treating a row value as the total. Exam tip: when a word problem asks for the total, use \(S_n\), not only \(a_n\).

Related tags

Arithmetic ProgressionAp Word ProblemsSum Of N TermsMathematics Class 10Sequence Application

Frequently asked questions

What is the correct answer to this question?

207

Why is this the correct answer?

The flower counts form an arithmetic progression with first term \(a=7\), common difference \(d=4\), and \(n=9\) terms. Thus, \(S_9=\frac{9}{2}[2(7)+(9-1)4]=\frac{9}{2}(46)=207\). Therefore, there are 207 flowers in 9 rows. A value such as 216 can result from incorrectly treating a row value as the total. Exam tip: when a word problem asks for the total, use \(S_n\), not only \(a_n\).

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Arithmetic Progressions (AP). Topic: Word problems based on APs.

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