Answer:
[tex]a_n=-8+(n-1)-7[/tex]
Step-by-step explanation:
General arithmetic sequence formula: [tex]a_n=a_1+(n-1)d[/tex]
where [tex]a_1[/tex] = first term, and d = common difference.
The first term is -8
And the common difference appears to be - 7 as 7 is subtracted to get to the next term. Ex. -8 - 7 = -15, -15 - 7 = - 22 and so on.
To get the explicit formula of the sequence we simply plug in the values of a1 and d the general arithmetic sequence formula
General formula: [tex]a_n=a_1+(n-1)d[/tex]
We have [tex]a_1=-8[/tex] and d = -7
So the formula to find the nth term would be
[tex]a_n=-8+(n-1)-7[/tex]
