59.2k views
4 votes
Given that (n¦4) ,(n¦5) and (n¦6) are the first three terms of a linear sequence.

Find the value of n.
Find the common difference of the sequence.

1 Answer

3 votes

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.

User Nitin Kumar
by
8.4k points

No related questions found