You are given a penny on January 1, two pennies on January 2, four pennies on January 3, and eight pennies on January 4, and so on. 1. Assuming the pattern continues, how many pennies do you get on the following dates? January 5 January 10 January 31

16 pennies512 pennies1073741824 pennies

Step-by-step explanation:

We can see a pattern:

Days >>   Pennies1        >>   1= 2^02        >>  2= 2^13       >>   4 = 2^24       >>   8 = 2^3...n       >>   2^(n-1)

So

January 5 fall on n = 5, therefore 2^4 = 16 penniesJanuary 10 falls on n = 10, therefore 2^9 = 512 penniesJanuary 31 falls on n = 31, therefore 2^30 = 1073741824 pennies