Answer:
Step-by-step explanation:
An explicit arithmetic formula in standard form is
[tex]A_n=a_1+d(n-1)[/tex] where n is the position of a number in thesequence, a1 is the first number in the given sequence, and d is the common difference. The common diff here is -5 since we have to subtract 5 from each term to get to the next one in the sequence. The first number is -12. So
a1 = -12
d = -5 and the explicit formula is
[tex]A_n=-12-5(n-1)[/tex] and you could simplify it a bit to
[tex]A_n=-12-5n+5[/tex] and finally to
[tex]A_n=-5n-7[/tex] which is a linear representation. Arithmetic sequences can all be simplified down to represent lines.
