In the AP (221,204,187,\ldots), what is the first term less than (50)?
Answer and explanation
Correct answer: 34
The first term is 221 and the common difference is \(d=204-221=-17\). The terms decrease as \(\ldots,68,51,34,17,0\). Since 51 is greater than 50 and the very next term, 34, is less than 50, the required first term is 34. Although 17 is also less than 50, it is not the first such term. Exam tip: In a decreasing AP, check the consecutive terms immediately on either side of the given limit.
Frequently asked questions
What is the correct answer to this question?
34
Why is this the correct answer?
The first term is 221 and the common difference is \(d=204-221=-17\). The terms decrease as \(\ldots,68,51,34,17,0\). Since 51 is greater than 50 and the very next term, 34, is less than 50, the required first term is 34. Although 17 is also less than 50, it is not the first such term. Exam tip: In a decreasing AP, check the consecutive terms immediately on either side of the given limit.
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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