Find an explicit formula for the arithmetic sequence − 45 , − 30 , − 15 , 0 , . . . −45,−30,−15,0,...minus, 45, comma, minus, 30, comma, minus, 15, comma, 0, comma, point, point, point.

The explicit formula for given sequence is:a_n=-60+15nStep-by-step explanation:Given sequence is:− 45 , − 30 , − 15 , 0, ......The general explicit formula for arithmetic sequence is given by[tex]a_n=a_1+(n-1)d\\Here,\\a_n\ is\ the\ nth\ term\\a_1\ is\ the\ first\ term\\d\ is\ the\ common\ difference[/tex]In the given sequence[tex]a_1=-45\\a_2=-30\\a_3=-15\\d=a_2-a_1 = -30-(-45) = -30+45 = 15\\a_3-a_2 = -15-(-30)=-15+30=15\\[/tex]So,d=15Putting the value of a1 and d in equation[tex]a_n=-45+(n-1)(15)\\a_n=-45+15n-15\\a_n=-60+15n[/tex]Hence,The explicit formula for given sequence is:a_n=-60+15nKeywords: Arithmetic sequence, Common differenceLearn more about arithmetic sequence at:brainly.com/question/2821386brainly.com/question/2860697#LearnwithBrainly