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Class 9MathematicsSequences and ProgressionsGeometric ProgressionEasyLevel 58
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In the sequence (6,18,54,162,\ldots) which term is (486)?

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Answer and explanation

Correct answer: fifth term

This is a geometric sequence in which each term is 3 times the preceding term: 6, 18, 54, 162, 486. Therefore, 486 is the fifth term. The sixth term would be 1458, so the sixth-term option is incorrect. Exam tip: Write the terms in order and count their positions starting from 1.

Related tags

MathematicsSequences And ProgressionsGeometric ProgressionTerm NumberClass 9

Frequently asked questions

What is the correct answer to this question?

fifth term

Why is this the correct answer?

This is a geometric sequence in which each term is 3 times the preceding term: 6, 18, 54, 162, 486. Therefore, 486 is the fifth term. The sixth term would be 1458, so the sixth-term option is incorrect. Exam tip: Write the terms in order and count their positions starting from 1.

Which subject and chapter does this question cover?

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

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  1. 1Which sequence is formed by a multiplication rule, not an addition rule?
  2. 2What is the 7th term of (4, 12, 36, 108, ...)?
  3. 3In the sequence \((81,27,9,3,\ldots)\), each term is \(\frac{1}{3}\) of the previous term. What is the sixth term?
  4. 4In the sequence \((13,18,23,28,\ldots)\), which term is 98?
  5. 5In the sequence 3, 6, 12, 24, ..., which is the first term greater than 500?
  6. 6What is the common ratio in the sequence (2, 6, 18, 54, ...)?
  7. 7What will be the next term of the geometric progression (5,10,20,40,\ldots)?
  8. 8If a geometric progression has first term (4) and common ratio (2), what is the second term?
  9. 9What is the common ratio in the sequence (81,27,9,3,\ldots)?
  10. 10Is the sequence (3, 6, 12, 24, ...) a geometric progression?
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