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Class 9MathematicsSequences and ProgressionsRecursive ruleEasyLevel 47
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If a_1 = 4 and a_(n+1) = a_n + 4, which term is 20?

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Answer and explanation

Correct answer: 5th

The governing concept is a recursive rule with a constant increase of 4. Starting from a_1 = 4, the terms are 4, 8, 12, 16, and 20. Counting from the first position shows that 20 is a_5, the fifth term. Therefore option B is correct. The fourth term is only 16, while the sixth and seventh terms would be 24 and 28.

Related tags

Recursive-RuleArithmetic-SequenceTerm-PositionConstant-IncreaseMathematicsRecursive RuleSequences And ProgressionsClass 9 Mcq

Frequently asked questions

What is the correct answer to this question?

5th

Why is this the correct answer?

The governing concept is a recursive rule with a constant increase of 4. Starting from a_1 = 4, the terms are 4, 8, 12, 16, and 20. Counting from the first position shows that 20 is a_5, the fifth term. Therefore option B is correct. The fourth term is only 16, while the sixth and seventh terms would be 24 and 28.

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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