Write the rule for the nth term of an arithmetic sequence in which a10=46 and d=3

 Equation for arithmetic sequence 
a{n} = a{1} + d(n - 1) 

Plug in known values 
2 = a{1} + -4(10 - 1) 
2 = a{1} - 36 
38 = a{1} 
a{1} = 38 

Plug d = -4 and a{1} = 38 into 
arithmetic sequence equation 
a{n} = 38 - 4(n - 1)