Which sequence is an arithmetic progression with (d=-4)?
Answer and explanation
Correct answer: (18, 14, 10, 6, …)
In an arithmetic progression, the difference between every pair of consecutive terms is constant. In option B, 14−18=−4, 10−14=−4, and 6−10=−4, so its common difference is d=−4. Option A has a difference of +4, while the differences in C and D are not constant. An easy exam check is to subtract each term from the term immediately before it.
Frequently asked questions
What is the correct answer to this question?
(18, 14, 10, 6, …)
Why is this the correct answer?
In an arithmetic progression, the difference between every pair of consecutive terms is constant. In option B, 14−18=−4, 10−14=−4, and 6−10=−4, so its common difference is d=−4. Option A has a difference of +4, while the differences in C and D are not constant. An easy exam check is to subtract each term from the term immediately before it.
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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