If (a_n=9n+4), at which term will (a_n=112)?
Answer and explanation
Correct answer: 12th
Given \(a_n=9n+4\) and \(a_n=112\), set \(9n+4=112\). This gives \(9n=108\), so \(n=12\). Therefore, 112 is the 12th term of the sequence. The 11th term is \(9(11)+4=103\), so it is not correct. Exam tip: To find the position of a given term, equate the general term \(a_n\) to that value and solve for \(n\).
Frequently asked questions
What is the correct answer to this question?
12th
Why is this the correct answer?
Given \(a_n=9n+4\) and \(a_n=112\), set \(9n+4=112\). This gives \(9n=108\), so \(n=12\). Therefore, 112 is the 12th term of the sequence. The 11th term is \(9(11)+4=103\), so it is not correct. Exam tip: To find the position of a given term, equate the general term \(a_n\) 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: Explicit or general rule.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
