In the AP (169,154,139,\ldots), what is the first term less than (40)?
Answer and explanation
Correct answer: 34
The common difference is \(d=154-169=-15\). The terms around the boundary are \(49, 34, 19,\ldots\). Since \(49\) is not less than \(40\), but the very next term \(34\) is less than \(40\), the first required term is \(34\). Exam tip: In a decreasing AP, write the consecutive terms around the given boundary to identify the first qualifying term.
Frequently asked questions
What is the correct answer to this question?
34
Why is this the correct answer?
The common difference is \(d=154-169=-15\). The terms around the boundary are \(49, 34, 19,\ldots\). Since \(49\) is not less than \(40\), but the very next term \(34\) is less than \(40\), the first required term is \(34\). Exam tip: In a decreasing AP, write the consecutive terms around the given boundary to identify the first qualifying 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.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
