If (a_n=n^2+6), which term is (87)?
Answer and explanation
Correct answer: 9th term
To find the position of 87, set \(a_n=87\): \(n^2+6=87\). Thus, \(n^2=81\), giving \(n=9\), since a term number must be a positive integer. Hence, 87 is the 9th term of the sequence. The 8th term is \(8^2+6=70\), so it is not correct. Exam tip: To find which term has a given value, equate \(a_n\) to that value and solve for \(n\).
Frequently asked questions
What is the correct answer to this question?
9th term
Why is this the correct answer?
To find the position of 87, set \(a_n=87\): \(n^2+6=87\). Thus, \(n^2=81\), giving \(n=9\), since a term number must be a positive integer. Hence, 87 is the 9th term of the sequence. The 8th term is \(8^2+6=70\), so it is not correct. Exam tip: To find which term has a given value, equate \(a_n\) to that value and solve for \(n\).
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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