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Class 9MathematicsSequences and ProgressionsSequencesExpertLevel 42
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In the sequence (2,6,14,30,62,\ldots), each next term is obtained by doubling the previous term and adding (2). What will be the next term?

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Answer and explanation

Correct answer: 126

The rule is: next term = twice the previous term + 2. Hence, the term after 62 is \(2\times 62+2=126\). Although 124 is twice 62, it does not include the required addition of 2. Exam tip: in a recursive sequence, apply the stated rule directly to the last given term.

Related tags

SequencesRecursive SequencesRecurrence RelationNumber PatternsClass 9 Mathematics

Frequently asked questions

What is the correct answer to this question?

126

Why is this the correct answer?

The rule is: next term = twice the previous term + 2. Hence, the term after 62 is \(2\times 62+2=126\). Although 124 is twice 62, it does not include the required addition of 2. Exam tip: in a recursive sequence, apply the stated rule directly to the last given term.

Which subject and chapter does this question cover?

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

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10 more MCQs
  1. 1What is the next term of the sequence (2,4,6,8,\ldots)?
  2. 2What is the fifth term of the sequence (5,10,15,20,\ldots)?
  3. 3Which is the fourth term in the sequence (1,3,5,7,\ldots)?
  4. 4What will be the next term of (10,20,30,40,\ldots)?
  5. 5What is the next term of (12,11,10,9,\ldots)?
  6. 6What is the sixth term of (4,8,12,16,\ldots)?
  7. 7What is the third term in (7,14,21,28,\ldots)?
  8. 8What is the next term of (30,27,24,21,\ldots)?
  9. 9The sequence (9,18,27,36,\ldots) consists of multiples of which number?
  10. 10What will be the next term of (100,90,80,70,\ldots)?
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