In the AP (6,13,20,\ldots), which is the last term just less than (90)?
Answer and explanation
Correct answer: 83
Here, the first term is \(a=6\) and the common difference is \(d=7\). Thus, the terms increase by 7: \(\ldots, 76, 83, 90\). Therefore, the last term just less than \(90\) is \(83\). The numbers \(84\), \(85\), and \(86\) are not terms of this AP. Exam tip: To identify the term immediately before a given number, also verify the next AP term.
Frequently asked questions
What is the correct answer to this question?
83
Why is this the correct answer?
Here, the first term is \(a=6\) and the common difference is \(d=7\). Thus, the terms increase by 7: \(\ldots, 76, 83, 90\). Therefore, the last term just less than \(90\) is \(83\). The numbers \(84\), \(85\), and \(86\) are not terms of this AP. Exam tip: To identify the term immediately before a given number, also verify the next AP 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.
