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Class 9MathematicsSequences and Progressionsnth termHardLevel 57
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If (a_n=5n-3) and (a_k=47), what is the value of (k)?

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Answer and explanation

Correct answer: 10

The kth term is given as 47. Substitute k for n in the formula: \(5k-3=47\). Thus, \(5k=50\), so \(k=10\). If 9 is used, the term is \(5\times9-3=42\), not 47. Exam tip: To find a term number, equate the nth-term formula to the given term value and solve for n.

Related tags

SequencesProgressionsNth TermLinear SequenceAlgebraic Equations

Frequently asked questions

What is the correct answer to this question?

10

Why is this the correct answer?

The kth term is given as 47. Substitute k for n in the formula: \(5k-3=47\). Thus, \(5k=50\), so \(k=10\). If 9 is used, the term is \(5\times9-3=42\), not 47. Exam tip: To find a term number, equate the nth-term formula to the given term 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: nth term.

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