If (a_n=6n+17), what is (a_{5p-3})?
Answer and explanation
Correct answer: \(30p-1\)
Given \(a_n=6n+17\), substitute the entire index \(5p-3\) for \(n\): \(a_{5p-3}=6(5p-3)+17=30p-18+17=30p-1\). Hence, \(30p-1\) is correct. \(30p-18\) results if the constant term \(+17\) is not added. Exam tip: always substitute the complete expression in the subscript for \(n\).
Frequently asked questions
What is the correct answer to this question?
\(30p-1\)
Why is this the correct answer?
Given \(a_n=6n+17\), substitute the entire index \(5p-3\) for \(n\): \(a_{5p-3}=6(5p-3)+17=30p-18+17=30p-1\). Hence, \(30p-1\) is correct. \(30p-18\) results if the constant term \(+17\) is not added. Exam tip: always substitute the complete expression in the subscript 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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