arithmetic
posted by Anonymous .
If the first term of an arithmetic sequence is 10 and the 13th term is 58, what is the common difference?

The nth term of an arithmetic progression is defined by
n = a + (n1)d where,
n = the nth term
a = the first term
d = the common difference
Therefore,
58 = 10 + (13  1)d
48 = 12d
d = 4