In (11,15,19,23,\ldots), what are (d) and (a) respectively?
Answer and explanation
Correct answer: d = 4, a = 11
For an arithmetic progression, a denotes the first term and d denotes the common difference between consecutive terms. The first listed term is therefore a = 11. To find d, subtract any term from the term immediately after it: 15 − 11 = 4. The other pairs confirm the same result: 19 − 15 = 4 and 23 − 19 = 4. Since the question asks for d and a in that order, the answer must be d = 4, a = 11, which is option B. Option A reverses the meanings of a and d; option C treats a later term as the difference; and option D incorrectly takes 15 as the first term.
Frequently asked questions
What is the correct answer to this question?
d = 4, a = 11
Why is this the correct answer?
For an arithmetic progression, a denotes the first term and d denotes the common difference between consecutive terms. The first listed term is therefore a = 11. To find d, subtract any term from the term immediately after it: 15 − 11 = 4. The other pairs confirm the same result: 19 − 15 = 4 and 23 − 19 = 4. Since the question asks for d and a in that order, the answer must be d = 4, a = 11, which is option B. Option A reverses the meanings of a and d; option C treats a later term as the difference; and option D incorrectly takes 15 as the first term.
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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