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What is the tenth term of the sequence (8,16,24,32,\ldots)?

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Answer and explanation

Correct answer: 80

This is an arithmetic progression with first term \(a=8\) and common difference \(d=8\). Thus, \(a_{10}=a+(10-1)d=8+9\times8=80\). The value 72 is the ninth term, so it is a close but incorrect option. In exams, use \(a_n=a+(n-1)d\) for the nth term of an AP.

Related tags

Arithmetic ProgressionNth TermSequencesClass 9Common Difference

Frequently asked questions

What is the correct answer to this question?

80

Why is this the correct answer?

This is an arithmetic progression with first term \(a=8\) and common difference \(d=8\). Thus, \(a_{10}=a+(10-1)d=8+9\times8=80\). The value 72 is the ninth term, so it is a close but incorrect option. In exams, use \(a_n=a+(n-1)d\) for the nth term of an AP.

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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