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If (a_n=7n-8), which term will be equal to (41)?
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Answer and explanation
Correct answer: \(n=7\)
Given \(a_n=7n-8\), set the term equal to 41: \(7n-8=41\). Thus, \(7n=49\), so \(n=7\). Therefore, 41 is the seventh term. Substituting \(n=6\) gives 34, not 41. Exam tip: To find the term number, equate \(a_n\) to the given value and solve for \(n\).
Frequently asked questions
What is the correct answer to this question?
\(n=7\)
Why is this the correct answer?
Given \(a_n=7n-8\), set the term equal to 41: \(7n-8=41\). Thus, \(7n=49\), so \(n=7\). Therefore, 41 is the seventh term. Substituting \(n=6\) gives 34, not 41. Exam tip: To find the term number, equate \(a_n\) to the given 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.
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