In the AP (85,77,69,\ldots), which is the last term greater than (-35)?
Answer and explanation
Correct answer: (-27)
The first term is 85 and the common difference is \(d=-8\). \((-35)\) is itself a term of the AP because \(85-8\times15=-35\). The term immediately before it is \((-35)+8=-27\), which is greater than \((-35)\). Hence, \((-27)\) is the correct answer. \((-35)\) is not greater than the given limit; it is the limit itself. Exam tip: In a decreasing AP, add \(|d|\) to get the term just before a known term.
Frequently asked questions
What is the correct answer to this question?
(-27)
Why is this the correct answer?
The first term is 85 and the common difference is \(d=-8\). \((-35)\) is itself a term of the AP because \(85-8\times15=-35\). The term immediately before it is \((-35)+8=-27\), which is greater than \((-35)\). Hence, \((-27)\) is the correct answer. \((-35)\) is not greater than the given limit; it is the limit itself. Exam tip: In a decreasing AP, add \(|d|\) to get the term just before a known 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.
