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What is the sixth term of the sequence (2,5,8,11,\ldots)?

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Answer and explanation

Correct answer: 17

This is an arithmetic sequence because 3 is added to each successive term. Starting with 2, the sixth term is obtained by adding 3 five times: \(2+5\times3=17\). Therefore, 17 is correct. The value 16 would result from adding 3 only four times. Exam tip: to find the \(n\)th term, add the common difference \(n-1\) times to the first term.

Related tags

Arithmetic SequenceNth TermCommon DifferenceSequences And ProgressionsClass 9 Mathematics

Frequently asked questions

What is the correct answer to this question?

17

Why is this the correct answer?

This is an arithmetic sequence because 3 is added to each successive term. Starting with 2, the sixth term is obtained by adding 3 five times: \(2+5\times3=17\). Therefore, 17 is correct. The value 16 would result from adding 3 only four times. Exam tip: to find the \(n\)th term, add the common difference \(n-1\) times to the first term.

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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