Respuesta :
Answer:
The recursive formula is [tex]f(n) = f(n-1) + (-7)[/tex]
Step-by-step explanation:
Given : 94, 87, 80, 73, …..
To find : Represent the arithmetic series using the recursive formula ?
Solution :
The arithmetic series is 94, 87, 80, 73, ….. with first term a=94 and common difference is d=-7
The recursive formula of the sequence 94, 87, 80, 73, …..
a(1)=94 is the first term
a(n)=a(n−1)+(-7) add -7 to the previous term
In the formula, n is any term number and a(n) is the [tex]n^{th}[/tex] term.
i.e. a(1) is the first term and a(n-1) is the term before [tex]n^{th}[/tex] term.
Therefore, the recursive formula is [tex]f(n) = f(n-1) + (-7)[/tex]
