If (8,8+s,8+2s,\ldots) is an arithmetic progression, what is its common difference?
Answer and explanation
Correct answer: s
The common difference of an arithmetic progression is the difference between two consecutive terms. Here, \((8+s)-8=s\). Also, \((8+2s)-(8+s)=s\), so the common difference is \(s\). The expression \(2s\) is the total added part in the third term, not the difference between consecutive terms. Exam tip: find the common difference by subtracting the preceding term from the next term.
Frequently asked questions
What is the correct answer to this question?
s
Why is this the correct answer?
The common difference of an arithmetic progression is the difference between two consecutive terms. Here, \((8+s)-8=s\). Also, \((8+2s)-(8+s)=s\), so the common difference is \(s\). The expression \(2s\) is the total added part in the third term, not the difference between consecutive terms. Exam tip: find the common difference by subtracting the preceding term from the next 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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