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Class 9MathematicsSequences and ProgressionsSequencesExpertLevel 41
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In the sequence (1,4,11,26,57,\ldots), the rule is (a_{n+1}=2a_n+n+1). What will be the next term?

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Answer and explanation

Correct answer: (120)

After the fifth term, (n=5), so (2\times57+6=120). Exam tip: use the correct current value of (n) in recursion.

Related tags

SequencesRecurrenceNext-TermClass-9

Frequently asked questions

What is the correct answer to this question?

(120)

Why is this the correct answer?

After the fifth term, (n=5), so (2\times57+6=120). Exam tip: use the correct current value of (n) in recursion.

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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