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If (a_n=kn+2) and (a_7=37), what is the value of (k)?
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Answer and explanation
Correct answer: 5
Given \(a_n=kn+2\). Substituting \(n=7\) gives \(a_7=7k+2\). Thus, \(7k+2=37\), so \(7k=35\) and \(k=5\). If \(k=6\), then \(a_7=44\), not 37. Exam tip: substitute the given term number into the general term to find an unknown constant.
Frequently asked questions
What is the correct answer to this question?
5
Why is this the correct answer?
Given \(a_n=kn+2\). Substituting \(n=7\) gives \(a_7=7k+2\). Thus, \(7k+2=37\), so \(7k=35\) and \(k=5\). If \(k=6\), then \(a_7=44\), not 37. Exam tip: substitute the given term number into the general term to find an unknown constant.
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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