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Class 10MathematicsArithmetic Progressions (AP)Word problems based on APsEasy
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A tower has (6) windows on the first floor and (2) more windows on each next floor. How many windows are on the (12)th floor?

Answer and explanation

Correct answer: 28

The numbers of windows form an AP with first term \(a=6\) and common difference \(d=2\). For the 12th floor, \(a_{12}=a+(12-1)d=6+11\times2=28\). Therefore, 28 is correct. Choosing 26 would incorrectly use 10 increases; there are 11 increases from the first floor to the 12th floor. Exam tip: use \(n-1\) in the formula for the \(n\)th term.

Related tags

Arithmetic ProgressionAp Word ProblemsNth TermClass 10 MathematicsCommon DifferenceWord Problems Based On ApsArithmetic Progressions (Ap)Arithmetic Progressions Ap
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