In 13, 18, 23, 28, …, what are a and d respectively?
Answer and explanation
Correct answer: a = 13, d = 5
In an arithmetic progression, a denotes the first term and d denotes the constant difference between consecutive terms. The first displayed term is 13, so a = 13. The common difference is obtained by subtracting any term from the following term: d = 18 − 13 = 5. The check 23 − 18 = 5 and 28 − 23 = 5 confirms that the sequence is arithmetic with d = 5. Therefore option B is correct. Option A reverses the two quantities, option C treats the second term as the first term, and option D incorrectly uses the second term as the difference. The word respectively requires the answers in the order a, then d.
Frequently asked questions
What is the correct answer to this question?
a = 13, d = 5
Why is this the correct answer?
In an arithmetic progression, a denotes the first term and d denotes the constant difference between consecutive terms. The first displayed term is 13, so a = 13. The common difference is obtained by subtracting any term from the following term: d = 18 − 13 = 5. The check 23 − 18 = 5 and 28 − 23 = 5 confirms that the sequence is arithmetic with d = 5. Therefore option B is correct. Option A reverses the two quantities, option C treats the second term as the first term, and option D incorrectly uses the second term as the difference. The word respectively requires the answers in the order a, then d.
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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