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Class 9MathematicsSequences and ProgressionsSequencesExpertLevel 42
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In the sequence (3,8,18,38,78,\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: 158

The rule is: next term = twice the previous term + 2. Therefore, the term after 78 is \(2\times 78+2=156+2=158\). Although 156 is double of 78, the additional 2 must also be included. Exam tip: for a recurrence sequence, apply the stated rule directly to the last given term.

Related tags

SequencesRecurrence RelationNumber PatternsArithmetic OperationsClass 9 Mathematics

Frequently asked questions

What is the correct answer to this question?

158

Why is this the correct answer?

The rule is: next term = twice the previous term + 2. Therefore, the term after 78 is \(2\times 78+2=156+2=158\). Although 156 is double of 78, the additional 2 must also be included. Exam tip: for a recurrence 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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