What is the next item in the sequence #1, 4, 16, 64 ,256#?

1 Answer
Nov 2, 2016

#256xx4=1024#

Explanation:

Next item is determined by recognizing how the previous items are #" "#
calculated.
#" "#
#1#
#" "#
#1xxcolor(blue)4=color(red)4#
#" "#
#color(red)4xxcolor(blue)4=color(purple)16#
#" "#
#color(purple)16xxcolor(blue)4=color(violet)64#
#" "#
#color(violet)64xxcolor(blue)4=color(orange)256#
#" "#
#color(orange)256xxcolor(blue)4=???#
#" "#
The next item is #color(orange)256xxcolor(blue)4=1024#