A sequence has rule (a_n=2n+5). Which term will be (41)?
Answer and explanation
Correct answer: 18th
To find the position whose value is 41, put a_n=41: 2n+5=41. Thus, 2n=36 and n=18. Therefore, 41 is the 18th term of the sequence. The 17th term is 2(17)+5=39, so it is not correct. Exam tip: To find a term’s position from an explicit rule, substitute the given term value for a_n and solve for n.
Frequently asked questions
What is the correct answer to this question?
18th
Why is this the correct answer?
To find the position whose value is 41, put a_n=41: 2n+5=41. Thus, 2n=36 and n=18. Therefore, 41 is the 18th term of the sequence. The 17th term is 2(17)+5=39, so it is not correct. Exam tip: To find a term’s position from an explicit rule, substitute the given term value for a_n and solve for n.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Sequences and Progressions. Topic: Explicit or general rule.
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