Find the value of m that will make m+3, 3m and 6m-8 an arithmetic sequence.

Ps. With solution

Given that the sequence is given by m+3,3m and 6m-8 to get the value of m that will make the sequence an arithmetic sequence we proceed as follows;

arithmetic sequences have the same common differences;

that is:

3m - (m+3) = (6m-8) - 3m

thus solving for the value of me we get:

3m-m-3=6m-8-3m

2m-3=6m-3m-8

2m-3=3m-8

collecting like terms we get:

2m-3m=-8+3

-m=-5

thus

m=5

the answer is m=5