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Class 10MathematicsArithmetic Progressions (AP)Word problems based on APsEasy
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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?

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 MathematicsWord Problems Based On ApsArithmetic Progressions (Ap)Arithmetic Progressions Ap
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