What is the (50)th term of the AP (4,4,4,4,\ldots)?
Answer and explanation
Correct answer: 4
The first term of this AP is 4 and the common difference is 0, since \(4-4=0\) for consecutive terms. Using \(a_n=a+(n-1)d\), \(a_{50}=4+49\times0=4\). Choosing 50 confuses the term number with the value of the term. Exam tip: find the common difference first; if \(d=0\), every term equals the first term.
Frequently asked questions
What is the correct answer to this question?
4
Why is this the correct answer?
The first term of this AP is 4 and the common difference is 0, since \(4-4=0\) for consecutive terms. Using \(a_n=a+(n-1)d\), \(a_{50}=4+49\times0=4\). Choosing 50 confuses the term number with the value of the term. Exam tip: find the common difference first; if \(d=0\), every term equals the first term.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Arithmetic Progressions (AP). Topic: Finding the $n$th term of an AP.
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