What is the common difference in (10,8,6,4,\ldots)?
Answer and explanation
Correct answer: -2
The common difference is found by subtracting a term from the next term: \(d=8-10=-2\). The other consecutive differences are also \(6-8=-2\) and \(4-6=-2\), so the progression is decreasing with a negative common difference. Option A has the wrong sign. Exam tip: use \(d=a_{n+1}-a_n\), not the reverse subtraction.
Frequently asked questions
What is the correct answer to this question?
-2
Why is this the correct answer?
The common difference is found by subtracting a term from the next term: \(d=8-10=-2\). The other consecutive differences are also \(6-8=-2\) and \(4-6=-2\), so the progression is decreasing with a negative common difference. Option A has the wrong sign. Exam tip: use \(d=a_{n+1}-a_n\), not the reverse subtraction.
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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