Answer:
To find the value of n and the common difference of the sequence, we can use the concept of divisibility. The notation (n¦k) represents that n is divisible by k.
Given that (n¦4), (n¦5), and (n¦6) are the first three terms of a linear sequence, we need to find a number n that is divisible by 4, 5, and 6.
The least common multiple (LCM) of 4, 5, and 6 is 60. Therefore, n must be a multiple of 60.
Possible values of n that satisfy this condition are: 60, 120, 180, 240, ...
As for the common difference of the sequence, since it's a linear sequence, the common difference remains the same between consecutive terms. We need more information to determine the exact common difference.