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Write the recursive formula for the arithmetic sequence.
A(n)=(-1)+(n-1)(-5)

Respuesta :

The recursive formula is  [tex]a_n= a_{n-1} -5[/tex].

What is Arithmetic Progression?

A set of numbers is an arithmetic progression (AP) or an arithmetic sequence such that the difference between successive words is unchanged.

Given:

A(n)=(-1)+(n-1)(-5)

A(n) = -1 - 5n + 5

A(n) = 4-5n

n=1

A(1)= 4-5= -1

n=2,

A(2) = -6

n=3

A(3)= -11

Hence, the recursive formula is [tex]a_n= a_{n-1} -5[/tex].

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