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If (a_n=62-4n), which term will be equal to (10)?

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Answer and explanation

Correct answer: 13th term

Given \(a_n=62-4n\). For the term whose value is 10, set \(62-4n=10\). Thus, \(4n=52\), so \(n=13\). Hence, the 13th term is equal to 10. The 12th term is \(62-4(12)=14\), so it is not correct. Exam tip: To find a term number, equate the general term \(a_n\) to the given value and solve for \(n\).

Related tags

Arithmetic ProgressionGeneral TermSequencesLinear EquationsClass 9 Mathematics

Frequently asked questions

What is the correct answer to this question?

13th term

Why is this the correct answer?

Given \(a_n=62-4n\). For the term whose value is 10, set \(62-4n=10\). Thus, \(4n=52\), so \(n=13\). Hence, the 13th term is equal to 10. The 12th term is \(62-4(12)=14\), so it is not correct. Exam tip: To find a term number, equate the general term \(a_n\) to the given 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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