What is the value of (d) in the sequence (14,11,8,5,\ldots)?
Answer and explanation
Correct answer: -3
The common difference of an arithmetic progression is the difference between two consecutive terms. Thus, \(d=11-14=-3\). This is verified by \(8-11=-3\) and \(5-8=-3\). Therefore, -3 is correct. Option A results from missing the negative sign. Exam tip: calculate the common difference as the second term minus the first term.
Frequently asked questions
What is the correct answer to this question?
-3
Why is this the correct answer?
The common difference of an arithmetic progression is the difference between two consecutive terms. Thus, \(d=11-14=-3\). This is verified by \(8-11=-3\) and \(5-8=-3\). Therefore, -3 is correct. Option A results from missing the negative sign. Exam tip: calculate the common difference as the second term minus 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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