If (d=0), what will happen to consecutive terms of an arithmetic progression?
Answer and explanation
Correct answer: They will be equal
In an arithmetic progression, the common difference d is the difference between two consecutive terms. When d=0, there is no change from one term to the next, so all consecutive terms are equal. In options B and D, the common differences would be 1 and -1 respectively, so they are not correct. Exam tip: An AP with d=0 is a constant sequence, for example 5, 5, 5, ... .
Frequently asked questions
What is the correct answer to this question?
They will be equal
Why is this the correct answer?
In an arithmetic progression, the common difference d is the difference between two consecutive terms. When d=0, there is no change from one term to the next, so all consecutive terms are equal. In options B and D, the common differences would be 1 and -1 respectively, so they are not correct. Exam tip: An AP with d=0 is a constant sequence, for example 5, 5, 5, ... .
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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