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The fourth term of a sequence is 14. Each term of the sequence is 8 less than the previous term. Which recursive formula represents the situation?

Respuesta :

So

an=an+b

14=4a+b and a=-8

14=-32+b

b= 46

an=-8n+46

Answer with Step-by-step explanation:

[tex]a_{4}=14[/tex]

Each term of the sequence is 8 less than the previous term

⇒ [tex]a_{3}=14+8=22[/tex]

⇒ [tex]a_{2}=22+8=30[/tex]

⇒ [tex]a_{1}=30+8=38[/tex]

In general [tex]a_{n}=a_{n-1}-8,a_{1}=38[/tex]

Hence, recursive formula representing the situation is:

[tex]a_{n}=a_{n-1}-8,a_{1}=38[/tex]

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