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