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Class 10MathematicsArithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APEasyLevel 68
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If the average of the first (8) terms of an arithmetic progression is (18), what is the sum of the first (8) terms?

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Answer and explanation

Correct answer: 144

Using \(\text{average}=\frac{\text{sum}}{\text{number of terms}}\), the sum is \(18\times 8=144\). Therefore, 144 is the correct option. A value such as 148 would result from using an incorrect average or number of terms. Exam tip: When the average and the number of terms are given, multiply them to find the sum.

Related tags

Arithmetic ProgressionAverageSum Of TermsClass 10 Mathematics

Frequently asked questions

What is the correct answer to this question?

144

Why is this the correct answer?

Using \(\text{average}=\frac{\text{sum}}{\text{number of terms}}\), the sum is \(18\times 8=144\). Therefore, 144 is the correct option. A value such as 148 would result from using an incorrect average or number of terms. Exam tip: When the average and the number of terms are given, multiply them to find the sum.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Arithmetic Progressions (AP). Topic: Finding the sum of the first $n$ terms of an 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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