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Class 9MathematicsSequences and ProgressionsSequencesExpertLevel 41
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In the sequence (1,4,13,40,121,\ldots), each next term is obtained by multiplying the previous term by (3) and adding (1). What is the sixth term?

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Answer and explanation

Correct answer: 364

The fifth term is 121. Using the given rule, the sixth term is \(3\times121+1=363+1=364\). Option 365 would result from incorrectly adding 2 instead of 1. Exam tip: in a recursive sequence, apply the stated rule to the immediately preceding term.

Related tags

SequencesRecursive SequenceRecurrence RelationNumber PatternsClass 9 Mathematics

Frequently asked questions

What is the correct answer to this question?

364

Why is this the correct answer?

The fifth term is 121. Using the given rule, the sixth term is \(3\times121+1=363+1=364\). Option 365 would result from incorrectly adding 2 instead of 1. Exam tip: in a recursive sequence, apply the stated rule to the immediately preceding 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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