Question #0ec8d

1 Answer
Jun 20, 2017

f(x)=2^xf(x)=2x

Explanation:

Each number in the sequence is the result of 2 raised to a positive integer. If the function is further defined to only include positive integers, the sequence shown can be explicitly defined.

f(x)=2^xf(x)=2x such that x in ZZ and 0 < x< 6.

Plugging into this formula with the given conditions, it can be seen that the explicit formula defines the sequence:

f(1)=2^1=2
f(2)=2^2=4
f(3)=2^3=8
f(4)=2^4=16
f(5)=2^5=32