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If (a_n=20-4n), what is the value of (a_4)?

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Answer and explanation

Correct answer: 4

Given \(a_n=20-4n\). To find the fourth term, substitute \(n=4\): \(a_4=20-4(4)=20-16=4\). Therefore, 4 is the correct answer. Option 8 could result from incorrectly subtracting 12 instead of calculating \(4\times4\). Exam tip: In an explicit rule, substitute the term number carefully for \(n\).

Related tags

SequencesProgressionsExplicit RuleNth TermClass 9 Mathematics

Frequently asked questions

What is the correct answer to this question?

4

Why is this the correct answer?

Given \(a_n=20-4n\). To find the fourth term, substitute \(n=4\): \(a_4=20-4(4)=20-16=4\). Therefore, 4 is the correct answer. Option 8 could result from incorrectly subtracting 12 instead of calculating \(4\times4\). Exam tip: In an explicit rule, substitute the term number carefully for \(n\).

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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