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Subjects
Class 9MathematicsSequences and ProgressionsArithmetic ProgressionHardLevel 53
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If (a_n=74-5n), which term will be equal to (19)?

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Answer and explanation

Correct answer: 11th term

Given a_n=74-5n and a_n=19. So, 74-5n=19, which gives 5n=55 and n=11. Hence, 19 is the 11th term. For example, the 12th term is 74-5(12)=14, not 19. Exam tip: To find a term number, equate the given term value to a_n and solve for n.

Related tags

Arithmetic ProgressionSequenceTerm NumberLinear ExpressionClass 9 Mathematics

Frequently asked questions

What is the correct answer to this question?

11th term

Why is this the correct answer?

Given a_n=74-5n and a_n=19. So, 74-5n=19, which gives 5n=55 and n=11. Hence, 19 is the 11th term. For example, the 12th term is 74-5(12)=14, not 19. Exam tip: To find a term number, equate the given term value to 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: Arithmetic Progression.

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  2. 2What is the common difference in the sequence 11, 16, 21, 26, ...?
  3. 3In the sequence (5, 12, 19, 26, ...), how many terms are greater than 50 and less than 150?
  4. 4In the sequence 5, 10, 20, 40, ..., which term is 5120?
  5. 5In an arithmetic sequence, a_1=8 and a_4=20. What is its explicit rule?
  6. 6What is the common difference in the sequence (2,5,8,11,\ldots)?
  7. 7What will be the next term of the sequence (7,12,17,22,\ldots)?
  8. 8If an arithmetic progression has first term (4) and common difference (6), what is the second term?
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