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If (a_n=100-5n), what is the value of (a_6)?

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Answer and explanation

Correct answer: 70

Given \(a_n=100-5n\), substitute \(n=6\): \(a_6=100-5(6)=100-30=70\). Therefore, 70 is the correct option. The value 65 may result from subtracting 5 only once, but here \(5\times6\) must be subtracted. Exam tip: To find a term from an explicit rule, substitute the given value of \(n\) and perform multiplication first.

Related tags

SequencesProgressionsExplicit RuleNth TermAlgebraClass 9

Frequently asked questions

What is the correct answer to this question?

70

Why is this the correct answer?

Given \(a_n=100-5n\), substitute \(n=6\): \(a_6=100-5(6)=100-30=70\). Therefore, 70 is the correct option. The value 65 may result from subtracting 5 only once, but here \(5\times6\) must be subtracted. Exam tip: To find a term from an explicit rule, substitute the given value of \(n\) and perform multiplication first.

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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