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Class 9MathematicsSequences and Progressionsnth termExpertLevel 57
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If (a_n=2^n+n), what is the value of (a_5)?

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Answer and explanation

Correct answer: 37

Given a_n=2^n+n, substitute n=5: a_5=2^5+5=32+5=37. Therefore, option B is correct. The value 35 could result from adding an incorrect number to 32. Exam tip: When finding an nth term, substitute the value of n in every part of the formula before simplifying the exponent.

Related tags

SequencesProgressionsNth TermExponentsGrade 9Mathematics

Frequently asked questions

What is the correct answer to this question?

37

Why is this the correct answer?

Given a_n=2^n+n, substitute n=5: a_5=2^5+5=32+5=37. Therefore, option B is correct. The value 35 could result from adding an incorrect number to 32. Exam tip: When finding an nth term, substitute the value of n in every part of the formula before simplifying the exponent.

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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