In an arithmetic progression, when (d<0), how do the terms generally change?
Answer and explanation
Correct answer: They decrease
In an arithmetic progression, each successive term is obtained by adding the common difference \(d\) to the previous term. When \(d<0\), a negative number is added each time, so the terms decrease successively. Option B would be correct only when \(d=0\). Exam tip: terms increase for \(d>0\), remain equal for \(d=0\), and decrease for \(d<0\).
Frequently asked questions
What is the correct answer to this question?
They decrease
Why is this the correct answer?
In an arithmetic progression, each successive term is obtained by adding the common difference \(d\) to the previous term. When \(d<0\), a negative number is added each time, so the terms decrease successively. Option B would be correct only when \(d=0\). Exam tip: terms increase for \(d>0\), remain equal for \(d=0\), and decrease for \(d<0\).
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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