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Class 9MathematicsSequences and ProgressionsRecursive ruleEasyLevel 48
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If (a_1=8) and (a_{n+1}=a_n+3), which term is (20)?

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Answer and explanation

Correct answer: Fifth term

By the recursive rule, each new term is 3 more than the previous term: 8, 11, 14, 17, 20. Therefore, 20 is the fifth term. The fourth term is 17, so it is not correct. Exam tip: list the terms along with their positions in recursive-sequence questions.

Related tags

Recursive RuleSequenceTerm PositionArithmetic ProgressionClass 9 Mathematics

Frequently asked questions

What is the correct answer to this question?

Fifth term

Why is this the correct answer?

By the recursive rule, each new term is 3 more than the previous term: 8, 11, 14, 17, 20. Therefore, 20 is the fifth term. The fourth term is 17, so it is not correct. Exam tip: list the terms along with their positions in recursive-sequence questions.

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Sequences and Progressions. Topic: Recursive rule.

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10 more MCQs
  1. 1If a₁ = 8, a₂ = 13, and each next term is the sum of the previous two terms, what is a₆?
  2. 2In the sequence \((2,3,5,8,13,\ldots)\), each term is the sum of the previous two terms. What is the eighth term?
  3. 3In the sequence \((1,2,4,7,11,\ldots)\), the added numbers are \((1,2,3,4,\ldots)\). What is the eighth term?
  4. 4In the sequence (15, 12, 7, 0, -9, ...), the differences are (-3, -5, -7, -9, ...). What will be the next term?
  5. 5In the sequence (7, 15, 31, 63, 127, ...), each next term is obtained by doubling the previous term and adding 1. What will be the next term?
  6. 6In the sequence (2, 3, 5, 9, 17, 33, ...), each next term is obtained by doubling the previous term and subtracting 1. What will be the next term?
  7. 7If (a_1=2) and (a_{n+1}=a_n+3), what is (a_4)?
  8. 8If (a_1=10) and (a_{n+1}=a_n-2), what is (a_5)?
  9. 9If (a_1=3) and (a_{n+1}=2a_n), what is the value of (a_4)?
  10. 10If \(a_1=64\) and \(a_{n+1}=\frac{a_n}{2}\), what is \(a_4\)?
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