The recursive formula for this arithmetic sequence -4, 3, 10, 17, ...
will be a₁ = -4 and [tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 7 .
What is Arithmetic progression?
The difference between every two successive terms in a sequence is the same this is known as an arithmetic progression (AP).
The arithmetic progression has wider use in mathematics for example sum of natural numbers.
Natural number = 1,2,3,4,5,6,7,8...
Given arithmetic sequence? -4, 3, 10, 17, ...
First term a₁ = -4
Common difference (d) = 3 - (-4) = 7
Now the nth term is given by
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + d
So according to our series, it will be
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 7 hence it will correct.
For more about Arithmetic progression
https://brainly.com/question/20385181
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