If (a=10) and (d=0), what will be the fourth term?
Answer and explanation
Correct answer: 10
The nth term of an AP is \(a_n=a+(n-1)d\). Therefore, \(a_4=10+(4-1)\times 0=10\). When \(d=0\), every term is equal to the first term; a value such as 20 would occur only if the common difference were non-zero. Exam tip: Substitute the term number \(n\) and common difference \(d\) carefully in the formula.
Frequently asked questions
What is the correct answer to this question?
10
Why is this the correct answer?
The nth term of an AP is \(a_n=a+(n-1)d\). Therefore, \(a_4=10+(4-1)\times 0=10\). When \(d=0\), every term is equal to the first term; a value such as 20 would occur only if the common difference were non-zero. Exam tip: Substitute the term number \(n\) and common difference \(d\) carefully in the formula.
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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