Question 1084924

How can I find the value of m if 6-2m, 2m+1 and 5m form an arithmetic sequence?
<pre>As this is an AP, we get: {{{matrix(1,7, 2^(nd), term - 1^(st), term, "=", 3^(rd), term - 2^(nd), term)}}}
2m + 1 - (6 - 2m) = 5m - (2m + 1)
2m + 1 - 6 + 2m = 5m - 2m - 1
4m - 5 = 3m - 1
4m - 3m = - 1 + 5 ======> {{{highlight_green(matrix(1,3, m, "=", 4))}}}