If the (10)th term of the AP (x, x+4, x+8,\ldots) is (50), what is the value of (x)?
Answer and explanation
Correct answer: 14
Here, the first term is \(a=x\) and the common difference is \(d=4\). Using \(a_n=a+(n-1)d\), we get \(50=x+(10-1)\times4=x+36\). Hence, \(x=14\). If 16 were chosen, the 10th term would be \(16+36=52\), not 50. Exam tip: In the nth-term formula, use \(n-1\), not \(n\).
Frequently asked questions
What is the correct answer to this question?
14
Why is this the correct answer?
Here, the first term is \(a=x\) and the common difference is \(d=4\). Using \(a_n=a+(n-1)d\), we get \(50=x+(10-1)\times4=x+36\). Hence, \(x=14\). If 16 were chosen, the 10th term would be \(16+36=52\), not 50. Exam tip: In the nth-term formula, use \(n-1\), not \(n\).
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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