Question

Use inductive reasoning to predict the next three numbers in the pattern.
9 ,3 ,1 ,1/3, 1/9
Predict the next three numbers in the pattern.

Answer 1

Answer:

the next 3 numbers in the pattern are 1/27 , 1/81. , and 1/243

Step-by-step explanation:

to go from 9 to 3 you either have to subtract 6 or divide by 3. if you subtract 6 it doesn't match with the numbers. if you divide by 3 it matches. you can multiply 1/9 by 1/3 or divide by 3. it end with the same answer

Answer 2

We have that The Next 3 patterns are

1/27,1/81,1/243

From the Question we are told that

Pattern. 9 ,3 ,1 ,1/3, 1/9

Generally

Using in inductive reasoning the pattern progresses as a function of  dividing by 3

Therefore

The next three number are

$x_1=\frac{1/9}{3}\\\\x_1=1/27$

$x_2=\frac{1/27}{3}\\\\x_2=1/81$

$x_3=\frac{1/81}{3}\\\\x_3=1/243$

Therefore

The Next 3 Numbers are

1/27,1/81,1/243

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