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Class 10MathematicsArithmetic Progressions (AP)Word problems based on APsEasy
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A student scores (40) marks in the first test and (5) more marks in each next test. What are the total marks in (6) tests?

Answer and explanation

Correct answer: 315

The marks form the AP 40, 45, 50, 55, 60, 65. Here, \(a=40\), \(d=5\), and \(n=6\). Thus, \(S_6=\frac{6}{2}[2(40)+(6-1)5]=3(105)=315\). Therefore, 315 is correct. Choosing 320 results from adding the increase incorrectly. Exam tip: An AP with \(n\) terms has \(n-1\) common differences.

Related tags

Arithmetic ProgressionAp SumWord ProblemsSeriesTest MarksWord Problems Based On ApsArithmetic Progressions (Ap)Arithmetic Progressions Ap
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