In the AP (64,57,50,\ldots), which is the last term greater than (-20)?
Answer and explanation
Correct answer: (-13)
The first term is 64 and the common difference is \(d=57-64=-7\). Thus, each successive term decreases by 7: \(1,-6,-13,-20\). Here, \((-13)\) is greater than \((-20)\), while the next term is \((-20)\), which is not greater than itself. Therefore, the answer is \((-13)\). Exam tip: For “greater than”, do not include the boundary value itself.
Frequently asked questions
What is the correct answer to this question?
(-13)
Why is this the correct answer?
The first term is 64 and the common difference is \(d=57-64=-7\). Thus, each successive term decreases by 7: \(1,-6,-13,-20\). Here, \((-13)\) is greater than \((-20)\), while the next term is \((-20)\), which is not greater than itself. Therefore, the answer is \((-13)\). Exam tip: For “greater than”, do not include the boundary value itself.
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.
