PLEASE HELP!!what is the explicit formula for this sequence -7, -4, -1, 2, 5

Answer:The explicit formula for the given expression is [tex]a_n=-10+3n[/tex].Step-by-step explanation:The given sequence is-7, -4, -1, 2, 5The difference between two consecutive terms is same, therefore the given sequence is an arithmetic sequence.The first term of the given AP is -7 and the common difference is[tex]-4-(-7)=-4+7=3[/tex]The explicit formula for an AP is[tex]a_n=a+(n-1)d[/tex]Where, a is first term, d is common difference and n is number of terms.Substitute a=-7 and d=3 in the above equation.[tex]a_n=-7+(n-1)3[/tex][tex]a_n=-7+3n-3[/tex][tex]a_n=-10+3n[/tex]Therefore the explicit formula for the given expression is [tex]a_n=-10+3n[/tex].