Question

What is the patern in the values as the exponents increase?

powers of 3. value
3^-1. 1/3
3^0. 1
3^1. 3
3^2. 9


A. add 3 to the previous value
B. subtract 3 from the previous value
C. divide the previous value by 3
D. multiply the previous value by 3

Answer 1

D. multiply the previous value by 3

Explanation:

The pattern of values as the exponents increase is

1/3, 1, 3, 9

Comparing 1/3 to 1, we either add 2/3 or multiply by 3.

Comparing 1 to 3, we either add 2 or multiply by 3.

Comparing 3 to 9, we either add 6 or multiply by 3.

The constant in this pattern is multiplication by 3.

Answer 2

D, multiply the previous value by 3