How do you write a rule for the nth term of the arithmetic sequence given d=2, #a_1=5#?
The terms in the standard
#a,a+d,a+2d,a+3d, ...... ,a+(n-1)d#
where a is the 1st term, d, the common difference and the nth term is a + (n -1)d
Each term in the sequence is obtained by adding d to the previous term.
Using the nth term, that is a + (n -1)d
with a = 5 and d = 2