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Class 10MathematicsArithmetic Progressions (AP)Word problems based on APsEasy
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In an office (5) new employees join in the first month and (2) more employees join each next month. How many employees join in (9) months?

Answer and explanation

Correct answer: 117

The numbers of employees joining each month form an AP: 5, 7, 9, … . Here, a = 5, d = 2, and n = 9. Therefore, S₉ = n/2[2a + (n−1)d] = 9/2[2(5) + 8(2)] = 9/2(26) = 117. Hence, 117 is correct. Exam tip: When a word problem asks for the ‘total’, find the sum of the first n terms, not only the nth term.

Related tags

Arithmetic ProgressionAp Word ProblemsSum Of N TermsMathematics Class 10Sequence ApplicationWord Problems Based On ApsArithmetic Progressions (Ap)Arithmetic Progressions Ap
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