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Class 9MathematicsSequences and Progressionsnth termEasyLevel 60
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In the sequence (7,14,21,28,\ldots), which term is (70)?

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Answer and explanation

Correct answer: tenth term

This sequence consists of multiples of 7, so its nth term is \(a_n=7n\). Putting \(7n=70\) gives \(n=10\). Therefore, 70 is the tenth term. The ninth term is 63, so option B is not correct. Exam tip: for this sequence, divide the given number by 7 to find its term number.

Related tags

SequencesArithmetic ProgressionNth TermMultiplesClass 9 Mathematics

Frequently asked questions

What is the correct answer to this question?

tenth term

Why is this the correct answer?

This sequence consists of multiples of 7, so its nth term is \(a_n=7n\). Putting \(7n=70\) gives \(n=10\). Therefore, 70 is the tenth term. The ninth term is 63, so option B is not correct. Exam tip: for this sequence, divide the given number by 7 to find its term number.

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 \((1,4,9,16,\ldots)\), what is the difference between the 15th term and the 14th term?
  2. 2What is the 25th term of the sequence \((-5,-1,3,7,\ldots)\)?
  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. 10If a_n = n(n + 3), which term is 130?
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