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Subjects
Class 9MathematicsSequences and ProgressionsArithmetic ProgressionHardLevel 53
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If the first (4) terms of an arithmetic progression are (9,17,25,33), what is (S_4)?

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Answer and explanation

Correct answer: 84

Here, \(S_4\) denotes the sum of the first four terms: \(9+17+25+33=84\). Therefore, the correct answer is 84. The value 80 is obtained by adding only the first and last terms, so it is not the required sum. Exam tip: when only a few terms are given, direct addition is quick and reliable.

Related tags

Arithmetic ProgressionSequence SumsApFirst N TermsClass 9 Mathematics

Frequently asked questions

What is the correct answer to this question?

84

Why is this the correct answer?

Here, \(S_4\) denotes the sum of the first four terms: \(9+17+25+33=84\). Therefore, the correct answer is 84. The value 80 is obtained by adding only the first and last terms, so it is not the required sum. Exam tip: when only a few terms are given, direct addition is quick and reliable.

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Sequences and Progressions. Topic: Arithmetic Progression.

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  2. 2What is the common difference in the sequence 11, 16, 21, 26, ...?
  3. 3In the sequence (5, 12, 19, 26, ...), how many terms are greater than 50 and less than 150?
  4. 4In the sequence 5, 10, 20, 40, ..., which term is 5120?
  5. 5In an arithmetic sequence, a_1=8 and a_4=20. What is its explicit rule?
  6. 6What is the common difference in the sequence (2,5,8,11,\ldots)?
  7. 7What will be the next term of the sequence (7,12,17,22,\ldots)?
  8. 8If an arithmetic progression has first term (4) and common difference (6), what is the second term?
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