The number of pennies is an illustration of pattern and sequence.
The number of pennies in the nth square is [tex]2^{n-1[/tex]
From the complete question, we have the following parameters
[tex]f(1) =1[/tex]
[tex]f(2) =2[/tex]
[tex]f(3) =4[/tex]
[tex]f(4) =8[/tex]
Rewrite the functions as follows:
[tex]f(1) = 2^0[/tex]
[tex]f(2) = 2^1[/tex]
[tex]f(3) = 2^2[/tex]
[tex]f(4) = 2^3[/tex]
Express 3 as 4 - 1
[tex]f(4) = 2^{4-1[/tex]
Replace 4 with n
[tex]f(n) = 2^{n-1[/tex]
Hence, the number of pennies in the nth square is [tex]2^{n-1[/tex]
Read more about pattern and sequence at:
https://brainly.com/question/24655254
