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Class 9MathematicsSequences and Progressionsnth termExpertLevel 58
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If (a_n=n(n+6)), which term is (160)?

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Answer and explanation

Correct answer: 10th

To obtain the value 160, solve n(n+6)=160. This gives n²+6n−160=0, or (n−10)(n+16)=0. Since n is a positive term number, n=10. The root n=−16 is not valid. Exam tip: for term-number questions, accept only positive integer roots.

Related tags

SequencesProgressionsNth TermQuadratic EquationsNumber Sequences

Frequently asked questions

What is the correct answer to this question?

10th

Why is this the correct answer?

To obtain the value 160, solve n(n+6)=160. This gives n²+6n−160=0, or (n−10)(n+16)=0. Since n is a positive term number, n=10. The root n=−16 is not valid. Exam tip: for term-number questions, accept only positive integer roots.

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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