Which term of the arithmetic progression (17,24,31,\ldots) is (80)?
Answer and explanation
Correct answer: 10th term
Here, the first term is \(a=17\) and the common difference is \(d=24-17=7\). The \(n\)th term is \(a+(n-1)d\). Thus, \(17+(n-1)\times7=80\), so \((n-1)\times7=63\) and hence \(n=10\). Therefore, 80 is the 10th term. The 9th term is 73, so it is not correct. Exam tip: To find a term number, equate the given value directly to \(a+(n-1)d\).
Frequently asked questions
What is the correct answer to this question?
10th term
Why is this the correct answer?
Here, the first term is \(a=17\) and the common difference is \(d=24-17=7\). The \(n\)th term is \(a+(n-1)d\). Thus, \(17+(n-1)\times7=80\), so \((n-1)\times7=63\) and hence \(n=10\). Therefore, 80 is the 10th term. The 9th term is 73, so it is not correct. Exam tip: To find a term number, equate the given value directly to \(a+(n-1)d\).
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Sequences and Progressions. Topic: Arithmetic Progression.
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