Question

In an examination hall, the examiner makes students sit in such a way that no students can cheat from other student and make no student sit uncomfortably. So. the teacher decides to mark the numbers on each chair from 1, 2, 3,......If there are 25 students and each student is seated at alternate position in examination room such that the sequence formed is 1, 3, 5.Read the above passage carefully and give the answer of the following questions.Q1. What type of sequence is formed, to follow the seating arrangement of students in the examination room?

Answer 1

The seating arrangement described forms an arithmetic sequence with a common difference of 2, ensuring that no students sit next to each other.

Step-by-step explanation:

The sequence formed by seating the students at alternate positions in the examination room, starting with 1, 3, 5, and so forth, is an arithmetic sequence where the common difference is 2. This can be determined because each term increases by the same value, indicating a consistent pattern of adding 2 to the previous term. In the context of seating arrangements, this sequence ensures that no two students are seated directly next to each other, minimizing the chances of cheating and maximizing comfort by providing additional space between students.