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Class 9MathematicsSequences and Progressionsnth termEasyLevel 59
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If (a_n=6n+6), what is the sixth term?

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Answer and explanation

Correct answer: 42

For the sixth term, substitute \(n=6\): \(a_6=6(6)+6=36+6=42\). Therefore, 42 is correct. The closest distractor, 36, results from missing the final \(+6\). Exam tip: first substitute the term number in the formula, then simplify step by step.

Related tags

SequencesProgressionsNth TermLinear SequenceClass 9Substitution

Frequently asked questions

What is the correct answer to this question?

42

Why is this the correct answer?

For the sixth term, substitute \(n=6\): \(a_6=6(6)+6=36+6=42\). Therefore, 42 is correct. The closest distractor, 36, results from missing the final \(+6\). Exam tip: first substitute the term number in the formula, then simplify step by step.

Which subject and chapter does this question cover?

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

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  1. 1In the sequence (1,4,9,16,...), what is the difference between the 15th term and the 14th term?
  2. 2What is the 25th term of the sequence (-5,-1,3,7,...)?
  3. 3If aₙ = n³ − n, what will be the value of a₇ − a₅?
  4. 4What will be the 12th term in the sequence (3, 5, 9, 15, 23, ...)?
  5. 5If a_n = n(n + 2), what will be the value of a_11 − a_8?
  6. 6If a_n = n^2 + 5n - 2, which term is equal to 148?
  7. 7The sequence (3, 8, 15, 24, …) has general term a_n = n² + 2n. Which term is 168?
  8. 8If a_n = n³ + n², what will be the value of a_6 − a_4?
  9. 9If a_n = 4n² − 1, which term is 575?
  10. 10In the sequence (1, 4, 9, 16, …), what will be the value of a_11 + a_12?
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