What is the value of (d) in the sequence (56,51,46,41,\ldots)?
Answer and explanation
Correct answer: \(-5\)
In an arithmetic progression, the common difference is \(d=a_2-a_1\). Here, \(d=51-56=-5\), so each successive term is 5 less than the preceding term. \(5\) is only the magnitude of the decrease; the common difference must be negative. Exam tip: always subtract the first of two consecutive terms from the second.
Frequently asked questions
What is the correct answer to this question?
\(-5\)
Why is this the correct answer?
In an arithmetic progression, the common difference is \(d=a_2-a_1\). Here, \(d=51-56=-5\), so each successive term is 5 less than the preceding term. \(5\) is only the magnitude of the decrease; the common difference must be negative. Exam tip: always subtract the first of two consecutive terms from the second.
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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