Answer:
[tex]3^{11}[/tex]
Step-by-step explanation:
Given you will receive a penny today and the amount is tripled each day
so if we write down each day payment we get a geometric progression.
Day 1=1
Day 2=3
Day 3=9
..
the series is 1,3,9,...
it is a geometric progression with a=1 r=3
we know that the general form of nth term in a GP is t(n)=a[tex]r^{n-1}[/tex]
t(n)=1*[tex]3^{n-1}[/tex]
now we need to find the amount on 12th day by substituting n=12
we get
t(12)=[tex]3^{11}[/tex]
He will pay [tex]3^{11}[/tex] on the 12th day .
