If (a_n=4n+3), which term will be (91)?
Answer and explanation
Correct answer: 22nd term
To find which term is 91, put \(a_n=91\) in the general term: \(4n+3=91\). Thus, \(4n=88\), so \(n=22\). Therefore, 91 is the 22nd term. The 21st term is \(4(21)+3=87\), so it is not correct. Exam tip: To find the term number of a given value, equate \(a_n\) to that value and solve for \(n\).
Frequently asked questions
What is the correct answer to this question?
22nd term
Why is this the correct answer?
To find which term is 91, put \(a_n=91\) in the general term: \(4n+3=91\). Thus, \(4n=88\), so \(n=22\). Therefore, 91 is the 22nd term. The 21st term is \(4(21)+3=87\), so it is not correct. Exam tip: To find the term number of a given value, equate \(a_n\) to that 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: Arithmetic Progression.
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