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If (a_n=7n-5), which term will be (121)?

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Answer and explanation

Correct answer: 18th term

To find which term equals 121, equate the general term to 121: \(7n-5=121\). Thus, \(7n=126\), so \(n=18\). Therefore, 121 is the 18th term of the sequence. The 17th term is \(114\), so it is not correct. Exam tip: To find the position of a given value, set \(a_n\) equal to that value.

Related tags

Arithmetic ProgressionGeneral TermNth TermSequencesClass 9 Mathematics

Frequently asked questions

What is the correct answer to this question?

18th term

Why is this the correct answer?

To find which term equals 121, equate the general term to 121: \(7n-5=121\). Thus, \(7n=126\), so \(n=18\). Therefore, 121 is the 18th term of the sequence. The 17th term is \(114\), so it is not correct. Exam tip: To find the position of a given value, set \(a_n\) equal to that value.

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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