What is the common difference of the arithmetic progression (54,48,42,36,\ldots)?
Answer and explanation
Correct answer: -6
The common difference of an AP is the difference between two consecutive terms: \(d=a_2-a_1=48-54=-6\). Thus, each next term is 6 less than the previous term, so \(-6\) is correct. \(6\) gives only the magnitude of the difference, not its correct sign. Exam tip: always calculate common difference as second term minus first term.
Frequently asked questions
What is the correct answer to this question?
-6
Why is this the correct answer?
The common difference of an AP is the difference between two consecutive terms: \(d=a_2-a_1=48-54=-6\). Thus, each next term is 6 less than the previous term, so \(-6\) is correct. \(6\) gives only the magnitude of the difference, not its correct sign. Exam tip: always calculate common difference as second term minus 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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