9, 3, 1, 1/3, 1/9 What is the next number in this sequence? What is the function machine for this se | MathCelebrity Forum

9, 3, 1, 1/3, 1/9 What is the next number in this sequence? What is the function machine for this se

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9, 3, 1, 1/3, 1/9
What is the next number in this sequence?
What is the function machine for this sequence?

We see the following pattern in this sequence:
9 = 9/3^0
3 = 9/3^1
1 = 9/3^2
1/3 = 9/3^3
1/9 = 9/3^4

Our function machine formula is:
f(n) = 9/3^(n - 1)

Next term is the 6th term:
f(6) = 9/3^(6 - 1)
f(6) = 9/3^5
f(6) = 9/243
f(6) = 1/27
 
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