In the AP (112,101,90,\ldots), what is the first term less than (15)?
Answer and explanation
Correct answer: 13
The first term is 112 and the common difference is \(d=101-112=-11\). The relevant consecutive terms are \(35, 24, 13\). Since 24 is greater than 15 and the next term, 13, is less than 15, 13 is the first term below 15. Although 2 and -9 are also less than 15, they occur later. Exam tip: In a decreasing AP, check the two consecutive terms around the given boundary.
Frequently asked questions
What is the correct answer to this question?
13
Why is this the correct answer?
The first term is 112 and the common difference is \(d=101-112=-11\). The relevant consecutive terms are \(35, 24, 13\). Since 24 is greater than 15 and the next term, 13, is less than 15, 13 is the first term below 15. Although 2 and -9 are also less than 15, they occur later. Exam tip: In a decreasing AP, check the two consecutive terms around the given boundary.
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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