Respuesta :

hmiller07

Step-by-step explanation:

In this arithmetic sequence, the common difference d is 7. You can find this by subtracting a term from the consecutive term: 16 - 9 = 7, 23 - 16 = 7. In order to find the next four terms, keep adding 7 to the previous term. The next four terms are 30, 37, 44, and 51.

xenia168

Answer:

Step-by-step explanation:

[tex]a_{1}[/tex] = [tex]\frac{3}{4}[/tex]

d = - [tex]\frac{1}{4}[/tex]

[tex]a_{2}[/tex] = [tex]\frac{3}{4}[/tex] + ( - [tex]\frac{1}{4}[/tex] ) = [tex]\frac{1}{2}[/tex]

[tex]a_{3}[/tex] = [tex]\frac{1}{2}[/tex] - [tex]\frac{1}{4}[/tex] = - [tex]\frac{1}{2}[/tex]

[tex]a_{4}[/tex] = - [tex]\frac{1}{2}[/tex] - [tex]\frac{1}{4}[/tex] = - [tex]\frac{3}{4}[/tex]

[tex]a_{5}[/tex] = - [tex]\frac{3}{4}[/tex] - [tex]\frac{1}{4}[/tex] = - 1

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