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Class 9MathematicsSequences and Progressionsnth termExpertLevel 58
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If (a_n=35-6n), which term is equal to (-43)?

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Answer and explanation

Correct answer: 13th

Given \(a_n=35-6n\), put \(a_n=-43\): \(35-6n=-43\). Thus, \(-6n=-78\), so \(n=13\). Therefore, \(-43\) is the 13th term. The nearby distractor, the 14th term, is incorrect because \(a_{14}=35-84=-49\). Exam tip: take special care with signs when transposing negative terms in an equation.

Related tags

Sequences And ProgressionsNth TermLinear SequenceSolving EquationsArithmetic Progression

Frequently asked questions

What is the correct answer to this question?

13th

Why is this the correct answer?

Given \(a_n=35-6n\), put \(a_n=-43\): \(35-6n=-43\). Thus, \(-6n=-78\), so \(n=13\). Therefore, \(-43\) is the 13th term. The nearby distractor, the 14th term, is incorrect because \(a_{14}=35-84=-49\). Exam tip: take special care with signs when transposing negative terms in an equation.

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Sequences and Progressions. Topic: nth term.

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