Question

How many pennies are on the nth square? 2n 2n â€"" 1 2n 1 2n â€"" 1 2n 1.

Answer 1

The number of pennies is an illustration of pattern and sequence.

The number of pennies in the nth square is $2^{n-1$

From the complete question, we have the following parameters

$f(1) =1$

$f(2) =2$

$f(3) =4$

$f(4) =8$

Rewrite the functions as follows:

$f(1) = 2^0$

$f(2) = 2^1$

$f(3) = 2^2$

$f(4) = 2^3$

Express 3 as 4 - 1

$f(4) = 2^{4-1$

Replace 4 with n

$f(n) = 2^{n-1$

Hence, the number of pennies in the nth square is $2^{n-1$

Read more about pattern and sequence at:

brainly.com/question/24655254