If (d>0) and the first term is positive, how will the terms of an arithmetic progression generally change?
Answer and explanation
Correct answer: They will increase
In an arithmetic progression, each term is obtained by adding the common difference d to the preceding term. When d>0, every next term is greater than the previous one, so the terms increase. They remain equal only when d=0, and they decrease when d<0. Exam tip: Use the sign of d to identify the trend of an AP quickly.
Frequently asked questions
What is the correct answer to this question?
They will increase
Why is this the correct answer?
In an arithmetic progression, each term is obtained by adding the common difference d to the preceding term. When d>0, every next term is greater than the previous one, so the terms increase. They remain equal only when d=0, and they decrease when d<0. Exam tip: Use the sign of d to identify the trend of an AP quickly.
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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