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If (a_n=25+n), what is the value of (a_6)?

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Answer and explanation

Correct answer: 31

Given \(a_n=25+n\), substitute \(n=6\) for the sixth term: \(a_6=25+6=31\). Hence, 31 is the correct option. The value 30 would result from using \(n=5\), so it is a close but incorrect distractor. Exam tip: carefully substitute the required term number for \(n\) in the general term.

Related tags

SequencesProgressionsExplicit RuleGeneral TermSubstitutionClass 9

Frequently asked questions

What is the correct answer to this question?

31

Why is this the correct answer?

Given \(a_n=25+n\), substitute \(n=6\) for the sixth term: \(a_6=25+6=31\). Hence, 31 is the correct option. The value 30 would result from using \(n=5\), so it is a close but incorrect distractor. Exam tip: carefully substitute the required term number for \(n\) in the general term.

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Sequences and Progressions. Topic: Explicit or general rule.

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