If (a=9) and (d=0), what will be the first three terms?
Answer and explanation
Correct answer: (9, 9, 9)
The nth term of an arithmetic progression is \(a_n=a+(n-1)d\). Here, \(a=9\) and \(d=0\), so the second term is \(9+0=9\) and the third term is \(9+2\times0=9\). Therefore, the first three terms are \((9,9,9)\). Option B would represent a common difference of \(-9\), not 0. Exam tip: when the common difference is zero, every term of the AP equals the first term.
Frequently asked questions
What is the correct answer to this question?
(9, 9, 9)
Why is this the correct answer?
The nth term of an arithmetic progression is \(a_n=a+(n-1)d\). Here, \(a=9\) and \(d=0\), so the second term is \(9+0=9\) and the third term is \(9+2\times0=9\). Therefore, the first three terms are \((9,9,9)\). Option B would represent a common difference of \(-9\), not 0. Exam tip: when the common difference is zero, every term of the AP equals the first 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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