Answered

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Write a recursive formula for the explicit formula.
A(n)= 9+ (n - 1)(-4)
Choose the correct formula below.

O A. A(n-1)= A(n) - 4; A(1)= 9

OB. A(n) = A(n-1) - 4; A(1)= 9

O C. A(n-1) = A(n) + 9; A(1)= - 4

OD. A(n) = A(n-1) + 9; A(1) = - 4

Sagot :

caylus

Answer: A

Step-by-step explanation:

[tex]A_n=9+(n-1)*(-4)\\\\A_1=9+(1-1)*(-1)=9+0=9\\\\A_{n-1}=9+((n-1)-1)*(-4)\\\\A_n-A_{n-1}=9+(n-1)*(-4)-(9+(n-2)*(-4))=-4n+4+4n-8=-4\\\\\boxed{A_n=A_{n-1}-4}\\\\\\Answer\ A[/tex]

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