> Arithmetic sequence question?

Arithmetic sequence question?

Posted at: 2014-06-09 
find common difference d and nth term an of the arithmetic sequence whose 6th term is 23 and 12th term is 53. Could you just walk through the formulas you used and where each number plugs into the equations. Thanks!
6th term = 5d + First term = 23 12th term = 11d + First term = 53 Subtracting the two, we get: 6d = 30 => d = 5 First term = 53 - 55 = -2 So nth term is 5n - 7.