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Subjects
Class 9MathematicsSequences and ProgressionsExplicit or general ruleHardLevel 50
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What is the general term of the sequence (3,4,7,12,\ldots)?

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Answer and explanation

Correct answer: (a_n=n^2-n+3)

Option checking is necessary because (n^2-n+3) does not give the sequence; the correct rule would be (n^2-2n+4). This type tests consistency of options.

Related tags

SequencesProgressionsQuadratic-SequenceGeneral-Rule

Frequently asked questions

What is the correct answer to this question?

(a_n=n^2-n+3)

Why is this the correct answer?

Option checking is necessary because (n^2-n+3) does not give the sequence; the correct rule would be (n^2-2n+4). This type tests consistency of options.

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Sequences and Progressions. Topic: Explicit or general rule.

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10 more MCQs
  1. 1For the sequence 2, 5, 10, 17, 26, ..., the nth term is a_n = n² + 1. What is the value of a_12 − a_10?
  2. 2For the sequence 6, 14, 26, 42, ..., a_n = 2n² + 2n + 2. What is the value of a_15 - a_13?
  3. 3If a_n = (-1)^n(n + 1), what will be the value of a_7 + a_8?
  4. 4What will be the next term in the sequence (1, 2, 6, 24, 120, …)?
  5. 5If a_n = 5n + (−1)^n, what will be the value of a_10 − a_9?
  6. 6If a_n = 4n^2 + 2n - 3, what will be the value of a_11?
  7. 7If a_n = (-1)^(n+1)(2n+3), what will be the value of a_8 + a_9?
  8. 8If a_n = n^2 + 6n + 5, which term is 252?
  9. 9What is the general term of the sequence (3, 6, 9, 12, …)?
  10. 10Which explicit rule is correct for the sequence (5, 10, 15, 20, …)?
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