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Class 9MathematicsSequences and ProgressionsRecursive ruleEasyLevel 49
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If (a_1=5) and (a_{n+1}=a_n+4), which term is (21)?

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Answer and explanation

Correct answer: 5th term

Using the recursive rule, add 4 to each term: 5, 9, 13, 17, 21. Therefore, 21 is the 5th term. The 4th term is 17, so the fourth-term option is incorrect. Exam tip: list the terms with their positions in recursive-sequence questions.

Related tags

Recursive RuleSequence TermsTerm PositionArithmetic ProgressionClass 9 Mathematics

Frequently asked questions

What is the correct answer to this question?

5th term

Why is this the correct answer?

Using the recursive rule, add 4 to each term: 5, 9, 13, 17, 21. Therefore, 21 is the 5th term. The 4th term is 17, so the fourth-term option is incorrect. Exam tip: list the terms 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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