If (a_n=8n-17), which will be the first positive term?
Answer and explanation
Correct answer: 3rd term
For a term to be positive, \(8n-17>0\). Thus, \(n>\frac{17}{8}\), and the smallest natural number satisfying this is \(3\). Checking confirms that \(a_2=-1\), which is not positive, whereas \(a_3=7\), which is positive. Therefore, the third term is the first positive term. Exam tip: after solving the inequality, choose the smallest natural-number value of \(n\) that satisfies it.
Frequently asked questions
What is the correct answer to this question?
3rd term
Why is this the correct answer?
For a term to be positive, \(8n-17>0\). Thus, \(n>\frac{17}{8}\), and the smallest natural number satisfying this is \(3\). Checking confirms that \(a_2=-1\), which is not positive, whereas \(a_3=7\), which is positive. Therefore, the third term is the first positive term. Exam tip: after solving the inequality, choose the smallest natural-number value of \(n\) that satisfies it.
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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