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Class 10MathematicsArithmetic Progressions (AP)Word problems based on APsEasyLevel 72
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A tower has (8) windows on the first floor and (3) more windows on each next floor. How many windows are on the (10)th floor?

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Answer and explanation

Correct answer: (35)

The numbers of windows form an arithmetic progression with first term 8 and common difference 3. By the 10th floor, the increase occurs 9 times: \(a_{10}=8+(10-1)\times3=8+27=35\). Therefore, (35) is correct. (38) results from incorrectly adding 3 ten times. Exam tip: in the \(n\)th term of an AP, use \(n-1\) increases.

Related tags

Arithmetic ProgressionAp Word ProblemsNth TermCommon DifferenceClass 10 Mathematics

Frequently asked questions

What is the correct answer to this question?

(35)

Why is this the correct answer?

The numbers of windows form an arithmetic progression with first term 8 and common difference 3. By the 10th floor, the increase occurs 9 times: \(a_{10}=8+(10-1)\times3=8+27=35\). Therefore, (35) is correct. (38) results from incorrectly adding 3 ten times. Exam tip: in the \(n\)th term of an AP, use \(n-1\) increases.

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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