What is the fourth term in 5/4, 7/4, 9/4, 11/4, …?
Answer and explanation
Correct answer: 11/4
The key idea is to identify the position of a term by counting from the left. In any listed sequence, the first displayed value is the first term, the next value is the second term, and so on. The fractions do not need to be converted into decimals because the question asks only for the term at a stated position.
Count the terms carefully: the first term is \\(5/4\\), the second is \\(7/4\\), the third is \\(9/4\\), and the fourth is \\(11/4\\). Thus the fourth term is \\(11/4\\), which is option D. Although the sequence has a common difference of \\(1/2\\), calculating it is unnecessary here because the fourth term is already written explicitly. Options A, B, and C are the first three terms, not the fourth.
Frequently asked questions
What is the correct answer to this question?
11/4
Why is this the correct answer?
The key idea is to identify the position of a term by counting from the left. In any listed sequence, the first displayed value is the first term, the next value is the second term, and so on. The fractions do not need to be converted into decimals because the question asks only for the term at a stated position.
Count the terms carefully: the first term is \\(5/4\\), the second is \\(7/4\\), the third is \\(9/4\\), and the fourth is \\(11/4\\). Thus the fourth term is \\(11/4\\), which is option D. Although the sequence has a common difference of \\(1/2\\), calculating it is unnecessary here because the fourth term is already written explicitly. Options A, B, and C are the first three terms, not the fourth.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Arithmetic Progressions (AP). Topic: Introduction to APs and common difference..
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