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Class 10MathematicsArithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APEasy
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The sum of the first (9) terms of an arithmetic progression is (198). What will be the average of the first (9) terms?

Answer and explanation

Correct answer: 22

To find the average of the first 9 terms, divide their total sum by the number of terms: \(\frac{198}{9}=22\). Therefore, the correct answer is 22. Getting 20 would be incorrect because 198 divided by 9 is not 20. Exam tip: use \(\text{average}=\frac{\text{sum}}{\text{number of terms}}\) in average-based questions.

Related tags

Arithmetic ProgressionAverageSum Of TermsClass 10 MathematicsBasic CalculationFinding The Sum Of The First $N$ Terms Of An ApFinding The Sum Of The First N Terms Of An ApArithmetic Progressions (Ap)
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10 more MCQs
  1. 1If an arithmetic progression has first term \(a\), common difference \(d\), and \(n\) terms, which formula correctly represents the sum of its first \(n\) terms?
  2. 2Find the sum of the first (15) terms of the AP (4,8,12,\ldots).
  3. 3Which formula correctly represents the sum of the first \(n\) terms of an AP with first term \(a\) and common difference \(d\)?
  4. 4What is the sum of the first (25) terms of the AP (1,3,5,\ldots)?
  5. 5What is the sum of the first (12) terms of the AP (10,20,30,\ldots)?
  6. 6What will be the sum of the first (10) terms of the AP (7,14,21,\ldots)?
  7. 7If the first term of an AP is (5), the last term is (45), and the number of terms is (9), what is the sum?
  8. 8Find the sum of the first (30) terms of the AP (3,6,9,\ldots).
  9. 9What is the sum of the first (8) terms of the AP (20,18,16,\ldots)?
  10. 10If the AP is (9,13,17,\ldots), what is the sum of the first (11) terms?
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