Answer:
[tex]a_1=-4\\d=7\\x=3\\y=10\\z=17[/tex]
Step-by-step explanation:
First term is the first term in the sequence. The sequence formula is given as
[tex]a_n=-4+7(n-1)[/tex], where n is the [tex]n^{th}[/tex] term. The first term,[tex]a_1[/tex], can be directly lifted from the expression.
[tex]a_1=-4[/tex]
The common difference can be obtained by as[tex]\frac{n_2}{n_1}[/tex] or lifted from the expression.
[tex]d=7[/tex]
Substitute for n in the expression to obtain the 2nd, 3rd and 4th terms (x,y,z) as:-
[tex]a_2(x)=-4+7(2-1)=3\\a_3(x)=-4+7(3-1)=10\\a_4(x)=-4+7(4-1)=17\\[/tex]
