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  • 23-10-2021
  • Mathematics
contestada

Find the iterative rule for
a1=4; an=1/3·an−1

A.) an=1/3•4^n
B.) an=1/3•4^n-1
C.) an=4•(1/3)^n
D.) an=4•(1/3)^n-1

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physicsgeniuspi physicsgeniuspi
  • 23-10-2021

Answer:

D.) a(n) = 4 * (1/3)^(n-1)

Step-by-step explanation:

a(1) = 1/3 * a(1-1) = 1/3 * a(0) = 4, so that

1/3 * a(0) = 4

a(0) = 12.

Answer choice D.) is such that a(0) = 4 (1/3)^(0-1) = 4*(1/3)^(-1) = 4 * 3 = 12, and assuming that the problem is well posed (i.e., exactly one of the answer choices is correct), we deduce that D.) is the correct answer choice.

 

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