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Subjects
Class 9MathematicsSequences and ProgressionsArithmetic ProgressionHardLevel 53
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If (a_n=6n+5), which term will be (107)?

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Answer and explanation

Correct answer: 17th term

To find the position of 107, put a_n = 107 in the general term: 6n + 5 = 107. Thus, 6n = 102 and n = 17. Therefore, 107 is the 17th term. The 16th term is 6(16) + 5 = 101, so it is not correct. Exam tip: To find the term number for a given value, equate a_n to that value.

Related tags

Arithmetic ProgressionSequencesGeneral TermNth TermLinear EquationsClass 9 Mathematics

Frequently asked questions

What is the correct answer to this question?

17th term

Why is this the correct answer?

To find the position of 107, put a_n = 107 in the general term: 6n + 5 = 107. Thus, 6n = 102 and n = 17. Therefore, 107 is the 17th term. The 16th term is 6(16) + 5 = 101, so it is not correct. Exam tip: To find the term number for a given value, equate a_n to that value.

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Sequences and Progressions. Topic: Arithmetic Progression.

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