If (a_n=6n-11), which term is (55)?
Answer and explanation
Correct answer: 11th
To find the position of 55, put \(a_n=55\): \(6n-11=55\). Thus, \(6n=66\), so \(n=11\). Therefore, 55 is the 11th term of the sequence. For example, putting \(n=10\) gives \(49\), not 55. Exam tip: To find the term number of a given value, equate \(a_n\) to that value and solve for \(n\).
Frequently asked questions
What is the correct answer to this question?
11th
Why is this the correct answer?
To find the position of 55, put \(a_n=55\): \(6n-11=55\). Thus, \(6n=66\), so \(n=11\). Therefore, 55 is the 11th term of the sequence. For example, putting \(n=10\) gives \(49\), not 55. Exam tip: To find the term number of 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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