Question #0ec8d

1 Answer
Jun 20, 2017

#f(x)=2^x#

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^x# 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#